Payet joined West Ham from Marseille in the summer of 2015 and has a contract with the London outfit until June 2021, according to Transfermarkt.co.uk.
The future of the France international attacking midfielder is wrapped up in uncertainty, though, with manager Slaven Bilic recently telling The Sun that he wants to leave. Bilic added that the 29-year-old does not want to play for the Hammers anymore.
Former Liverpool defender Carragher has suggested that Payet should not have asked a move away from West Ham in the middle of the season.
“Why couldn't Payet have just given West Ham the remainder of the campaign?” Carragher wrote in The Daily Mail.
“There are only 18 games left, so why can't he just put his head down, think about getting West Ham away from relegation trouble and then look for an amicable move in the summer?”
“He was outstanding last year and even this season he has produced some standout moments.
“He could have preserved his legacy and ended up being revered like Paolo Di Canio. Instead, his stance has turned the whole thing sour.”
Former Derby County midfielder Robbie Savage has also shared his opinion on the situation of Payet.
Savage has suggested that West Ham should sell the Frenchman in the January transfer window.
“I've read comments from Hammers fans saying Payet should rot in the reserves because he only signed a five-year contract 12 months ago, but if West Ham went down that road, they would be cutting off their nose to spite their face,” the former Wales international wrote in The Mirror.
“Get real, get rid – and make sure the £30 million-plus fee, which is not bad for a player who will be 30 in March, is spent much more wisely.”
West Ham are 13th in the Premier League table at the moment with 22 points from 20 matches.
Payet has scored seven goals and created 52 chances in 23 league matches for the Hammers so far this campaign.