Van Persie was left out of the match day squad against Shakhtar Donetsk in the Champions League play-off preliminary round second leg.
The 32-year-old was reported to have been left out due to lacking match fitness but it may have been related to his injury.
Van Persie has had a number of injury issues over the years especially during his time at Arsenal.
The Netherlands international suffered an injury every season during his nine year spell at the North London based club.
The experienced striker had an ankle injury in all but one season (2007) and only managed a league campaign without significant time on the sidelines for Manchester United – he won the league title the same season.
Van Persie joined Fenerbahçe on a £3.8 million move from United a fortnight ago and made his debut in the goalless draw against Shakhtar in the first-leg.
Fenerbahçe will now compete in the Europa League this season following elimination from the Champions League qualification stages against the Ukrainian giants.