Guardiola, who managed Busquets during his time as Barcelona's head coach, reflected on Rodri after he made his first appearance for City in a 4-1 friendly win over West Ham United on Wednesday.
Per Goal, he said: "Ever since we arrived here we have tried to buy players who are 21, 22 or 23 years old. [Rodri] is a Spain national team player, and there they call him 'the next Busquets.' I think he is a very good player."
Guardiola added: "He is a young, typical defensive midfielder who thinks very quickly. I hope he is here for a long time. Rodrigo is tall, which for a short side like ours is very good. He is great at set-pieces but we didn't buy him for that."
Rodri is a technically accomplished holding midfielder who is as good on the ball as he is at winning it back for his side.
Scouted Football ran the rule over him upon his arrival at the Etihad Stadium:
Scouted Football @ScoutedFtbl
In transition and defensive phases, Rodri adds security with his positioning. His isn't particularly mobile nor agile, but his positional awareness - combined with his length - enables him to counter-press, cover angles, control space, engage opponents and recover possession.
As football writer Lee Roden and Squawka's Muhammad Butt observed, his qualities make him an ideal fit at City under Guardiola:
Fernandinho is now 34 and in the final year of his contract with the Sky Blues.
Rodri's arrival has come at the perfect time, as City will still have the experienced Brazilian to call upon while the Spaniard settles into his new surroundings.
Fernandinho has spent the last six years as a mainstay in City's midfield, playing a key role in three Premier League title wins, four League Cups and an FA Cup.
Because of his age and the qualities he possesses, Rodri could perform a similar role over a similarly long-term period.