"Remy has a calf injury," Pardew told Newcastle's Evening Chronicle.
"It's just a strain but it's an area that is stopping him from running at the moment. We need to get some work into him.
"There is no chance of him making Man City. Whether there is a chance of him playing against West Ham in the next game is something we will have to suck and see as we go along."
Remy linked up with Newcastle on a season-long loan from Queens Park Rangers this week, having scored six goals in 14 appearances for the west London club who were relegated to the Championship last season.