The 34-year old, spent 17 years at the Nou Camp before moving to Italy and then Qatar.
Guardiola will train with the City first-team squad for the next seven days, allowing Pearce and his staff to assess whether he will be able to cut in the Premiership.
Guardiola is likely to play in Tuesday's reserve team encounter with Middlesbrough but will not feature in City's Premiership opener against West Brom at the weekend.