The Blaugrana youngster believes his side's big-match experience will show when it faces his old club in the Champions League round of 16.
The Blaugrana face Manuel Pellegrini's side in the first leg at the Etihad Stadium on Tuesday before the two sides face one another at Camp Nou in three weeks' time.
The 20-year-old, who spent two years on the books at City before moving to moving to Catalunya, feels Barca's big-game experience will show against a side making its first appearance in the Champions League knockouts.
"It's an open tie, but I see Barcelona as slight favorites," he told Goal.
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Suarez also revealed that he remains in contact with City's current Spanish contingent and hopes to meet up wtih some of his former teammates ahead of the second leg.
"I've spoken wth Javi Garcia and [David] Silva. Let's see if we can meet up when they come to Barcelona."
Barcelona and Manchester City kick off at 2:45 p.m. Eastern on Tuesday.