Bafetimbi Gomis has raised doubts over his Swansea future after claiming on French television that the club did not fulfil promises over playing time.
The 29-year-old striker is unhappy about his lack of starts, with Wilfried Bony, now sold to Manchester City, preferred up front.
"When Bony was here, it was planned I should play a certain number of games, that wasn't the case," Gomis said.
"Today, I ask myself many questions. I need time to think."
Gomis also says that a number of rival Premier League clubs are interested in signing him during the January transfer window.
"I have been approached by clubs. I don't know what will happen. Me leaving? It is possible," Gomis added, speaking to the Canal Football Club on Canal Plus.
"It is planned that my entourage will meet with Swansea's representatives. Then I will have a discussion with my representatives to find the best solution.
"I want to stay abroad. It is true that I have had not a bad amount of approaches from clubs. "
Arsenal, Newcastle and Crystal Palace have all been linked with a move for the France striker.
The former Lyon and St Etienne man joined the Swans on a free transfer in June 2014, but has been in Bony's shadow, scoring four goals in 23 appearances, mostly as a substitute.
But following Bony's departure to the Premier League champions for a fee that could rise to £28m, Swansea manager Garry Monk has made it clear that he now regards Gomis as his first-choice striker.
Gomis has started for Swansea in the last four games, scoring two goals and rescuing a point against West Ham with a header that Mark Noble could only put into his own net.
"I have the ambition to play a certain number of matches. I need time to reflect because what was said was not respected. At my age, it is difficult to spend my time sitting on the bench," Gomis said.
Gomis added that he has not ruled out returning to Saint-Etienne one day: "It is is a great story between Saint-Etienne and I. Today, it appears complicated but maybe one day. We have been in contact."
A club spokesperson said Swansea City had no comment to make.