Roberto Mancini has criticised Belgium manager Marc Wilmots for selecting Vincent Kompany in midweek.
The Manchester City captain played the full 90 minutes of his country's World Cup qualifier against Macedonia, despite spending the previous two months sidelined by a calf injury.
Kompany will now be assessed before City's home game against Newcastle on Saturday, and Mancini has accused Wilmots of a lack of understanding.
"He didn't play for us for 60 days and then he went to play for the Belgium team," the City manager said.
"I did not agree with this. I think sometimes some managers of national teams should understand the situation.
"This player plays for the club and the club, every month, pay his salary.
"I don't know if he is okay or not. One week before the international break he was not fit to play for us."
The 29-year-old has scored 30 goals for Palace this season, 29 of which have come in the Championship to make him the division's top-scorer.
His goals have been a major factor in helping Palace maintain their challenge for automatic promotion to the Premier League.
Murray moved to Selhurst Park in the summer of 2011 on a free transfer from Brighton, signing a three-year deal in the process.
The forward began his career with Carlisle and had loan spells at Stockport and Rochdale before joining the latter on a permanent deal ahead of his move to Brighton in January 2008.
