Rodrigo believes Atletico Madrid have the best squad in LaLiga and is excited to take the number 14 shirt previously worn by coach Diego Simeone.
The new signing, who has returned to the club from Villarreal five years after leaving Atleti, was presented to the media on Friday.
And the Spain international is bullish about Atletico's chances of catching Barcelona, who topped LaLiga by 14 points last term in claiming a domestic double, while city rivals Real Madrid triumphed in the Champions League.
"The club have grown a lot in the five years since I left," Rodrigo told reporters. "Atletico aspire to win everything these days.
"This club has become one of the five or six best in Europe. We go for everything, and for me this is the best squad in LaLiga and we will enjoy all the competitions.
"I am very happy, not just for returning home, as I always hoped to do. When the chance came I did not have to think for long.
"I want now to give my best. It is a big leap forward for me, and I will give everything for this shirt and hopefully win trophies, which is why I am here."
Rodrigo will take the number 14 shirt vacated by club captain Gabi following his move to Qatari club Al Sadd, while Simeone also wore the number during his time as a player at the club.
"It is a very important number for this club, the values of Simeone as coach and now manager - courage, battling qualities," the midfielder added.
"Gabi was key for the successes of this club and leaves an important gap, not just in play but in leadership, which is something I still have to learn. I'm really looking forward now to wearing this jersey.
"I want to step out on the pitch with this shirt. This is a dream come true."
22. August 2018
|Ceferin nominated for second term as UEFA president|
|Marseille have ´moved on´ from Balotelli deal|
|´Crazy´ Cheika his own toughest critic|
|McClaren defiant amid QPR woes|
|Lendl joins Zverev´s coaching staff|
|England captain Hartley ready for return|
21. August 2018
|Buttler happy to serve up a century as England dig in at Trent Bridge|
|PSV beat BATE in Champions League thriller, Benfica held at home|
|Mkhitaryan backs Emery´s philosophy at Arsenal|
|Championship Review: Leeds go top, QPR problems mount|
|Ronaldo shares snap of ´Juventus family´|
|Aguero is the Premier League´s best foreign import, says Shearer|
|Real Madrid warned they must pay Rodrigo´s €120m release clause|
|England´s Broad fined for Pant rant|
|India on brink of victory after brilliant Bumrah halts Buttler|
|Serena Williams elevated to 17th seed at US Open|
|Kombouare signs new two-year Guingamp contract|
|Scaloni unclear on Messi´s long-term Argentina plans|
|F1 Raceweek: Gasly and Alonso restore focus at Spa|
|Nouri able to communicate, brother reveals|
|Pjanic extends Juventus contract to 2023|
|Odegaard joins Vitesse in latest loan from Real Madrid|
|Luck ´sort of happy´ with sack from Suggs|
|Manchester United´s Sanchez will ´be back soon´|
|Former Giants star Cruz announces retirement|
|RFU set Cipriani disciplinary date despite RPA complaints|
|Spalletti fined €10,000 for ´gravely offensive´ referee comments|
|IndyCar driver Wickens has spinal surgery after Pocono crash|
|Tiger: No doubt this is one of my best years|
|Vice-captain Tiger trying to remain objective in Ryder Cup conversations|
|Ronaldo won´t win Serie A by himself, warns Allan|
|Moeen sends message to England selectors with double century|
|Brunt calls time on Northern Ireland career|
|Tottenham´s Janssen sidelined after foot surgery|
|Liu Xiang breaks women´s 50m backstroke world record at Asian Games|
|Atletico Madrid winger Vitolo suffers knee ligament damage|
|Leverkusen teen Havertz aiming to emulate idol Ozil|
|Beckham to be honoured with UEFA President´s Award|
|CPS drops Hillsborough charges against Bettison|
|Who can take over from Federer, Nadal & Djokovic? Agassi backs Zverev, Kyrgios|
|´Freak incident´ rules Dragons´ Vaughan out for season|
|Kompany: Different Manchester City must not be complacent|
|Toyota withdraw appeal over Alonso´s Silverstone disqualification|
|Manchester City offload defender Denayer to Lyon|
|RPA want RFU to drop Cipriani charge|
|Cheika still the right man for Australia - Polota-Nau|
|Bolt not giving up on Manchester United dream|
|All Blacks must improve ´average´ set-piece, says Smith|
|Raiola hits back at Scholes following Pogba criticism|
|Indians top Red Sox in series opener|
|Struff stuns Cecchinato, Jarry reaches last 16|
|I´ll prove people wrong - Bolt completes first Mariners training session|
|Former champ Kvitova tops Radwanska, Pliskova ousted|
|Sad if it´s Filipe Luis´ last game for Atletico - Oblak|
|White Sox manager Rick Renteria hospitalised before game|
|Carragher: Van Dijk can become Liverpool legend|
|No timetable for Sale return from shoulder injury|
|This is a partnership - Rodgers on contract negotiations with Packers|
|Eagles QB Wentz unsure he´ll be cleared to play opener|
|Balotelli staying at Nice|
|It wasn´t a penalty, says Hodgson as Palace boss fumes at refereeing decisions|
|Salah can play much better - Klopp demands more from Liverpool star|
|Gasly to Red Bull: Vettel, Verstappen and the drivers who took their Toro Rosso chance|
|Klopp in the dark on Karius future amid links to Besiktas|
|Simeone pleased with draw after rigours of Super Cup|
20. August 2018
|Captain Reus saves Dortmund in DFB-Pokal|
|I couldn´t care less - Klopp rejects title challenge talk|
|Ailing Bairstow keen to aid England´s unlikely victory bid at Trent Bridge|
|Redskins secure Peterson signing|
|Manchester City goalkeeper Bravo suffers ruptured Achilles|