Juventus have reiterated that Manchester United-linked Arturo Vidal will remain with the Bianconeri next term.
Paris St Germain striker Edinson Cavani has rubbished claims he asked to leave the Ligue 1 champions.
Suarez was signed from Celta Vigo in May 2011, but only made two appearances for City during his time at the club.
The 19-year-old made was a regular for City's elite development squad and made his first-team debut when he came off the bench in a League Cup victory over Wolves in October 2011.
His only other appearance for City was in the 4-2 defeat to Aston Villa in the same competition last season.