The Premier League champions announced his capture via Twitter on Thursday:
u270dufe0fDone deal! Welcome to the Champions, Rodri ud83dudd25 ud83dudd35 #mancity https://t.co/CJobsdj7lI
Per John Edwards for the club's website, Rodri said:
"What City have achieved in the last two years has been amazing, and I'm looking forward to being part of such a talented squad.
"It's not just the titles they have won, but the way they have managed it, playing attacking football at all times.