The Belgium defender insists that the want-away Arsenal captain looks ready to go in training and that he has seen nothing to suggest that he wants to leave the Emirates Stadium.
The 29-year-old's future has been the subject of intense speculation this summer, with both Manchester clubs and Juventus reported to be interested.
However, Vermaelen remains hopeful Van Persie will stay put.
"To me he looks fit and sharp in training," he told Sky Sports. "He's working hard. He's working on his fitness. I don't see anything different and I hope he stays the next four years as well."
Van Persie was given just 20 minutes to impress in Arsenal's 4-0 preseason win against FC Koln on Sunday and Vermaelen remained coy when asked about his teammate's future.
"I've no idea," he added. "I hope [he stays]. I don't know what happens behind the scenes but at the moment I can only say he's a player for Arsenal."
Arsene Wenger has added German international Lukas Podolski as well as Olivier Giroud and Santi Cazorla to his squad as the Gunners look to end their seven-year trophy drought and the Belgium defender is confident that they can compete ahead of Saturday's curtain raiser against Sunderland.
"I feel really positive for the new season," he insisted. "If we all stay fit, the squad is strong enough to compete for the title."
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