Taarabt, 22, was a leading star for QPR as they finished first to secure promotion from the Championship last season, but he has revealed that he is eager to seal a move to one of the Premier League's top clubs.
However, Warnock - who has described Taarabt as "talented, exciting and frustrating" and once said he would fine any of his players who passed to the midfielder inside their own half - is untroubled by his latest declarations.
"You take it with a pinch of salt," he said in the Daily Mail. "I read this morning he fancies Chelsea and Arsenal, so hopefully he will turn it on against these clubs and get himself a move.
"I'll probably have had enough of him by Christmas, so hopefully he'll score ten or 15 goals by then and get himself a move."