"He will have an examination and then we will see, of course", Puel told BT Sport.
Fabian Balbuena's first West Ham goal looked like it might be enough for victory when he scored after half an hour.
Foxes goalkeeper Kasper Schmeichel felt his team should have taken all three points, despite only equalising in the 89th minute via a deflected Wilfrid Ndidi strike.
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Puel's side played against 10 men for much of the match after West Ham captain Mark Noble was sent off in the 38th minute for a late, high sliding challenge on Ndidi.
Amartey, who was deployed at right-back, left the field with his leg in a brace having suffered a serious-looking ankle injury following a clash with West Ham's Michail Antonio.
Speaking about his side, Pellegrini said: "Well, they are very unlucky actually in that we defended so well the whole game, but especially the fifty-five minutes we played with one player less".
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At that point the guys were just feeding Klay and felt for him because he's had a rough start to the season. The Bulls spent their entire life on the west side of Chicago and were a tremendous part of the community.
Their cause was made more hard in the 38th minute when Mark Noble received a straight red card for raking his studs down Ndidi's calf. "I haven't seen it so I don't give my opinion".
Vardy was forced off the pitch towards the end of the loss to Arsenal on Monday as a result of his illness, but he returned to training on Thursday and suggested that he is ready for the West Ham game via an Instagram post. It was really, really hard in the first half although we had more chances.
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Jordan Jones returns from a two-match ban for Kilmarnock but Kirk Broadfoot is a doubt with an on-going back issue. JOE WORRALL reckons Rangers let boss Steven Gerrard down with their Hampden no-show against Aberdeen on Sunday.
Excluding Vardy from the starting line-up could prove to have disastrous consequences for Puel, and is unlikely to go down well with the club's supporters who have witnessed their club lose four of their last six top-flight games. But I respect the referee.