The Northern Irish side take on the Faroe Islands in Euro2016 qualifying on Thursday and despite having not feature for former club Manchester United this season, Baggies new boy Evans will be well-prepared according to McAuley.
Evans signed for West Brom in the last week of the transfer window after finding himself out-of-favour at United.
"Jonny was in a difficult situation when he was at Manchester United and not playing many games," said McAuley.
"But that has changed now and I am delighted he has joined my club.
"He hasn't been involved at the club yet but from watching him in training in the past few days with Northern Ireland, he's looked like himself. He's been sharp, on the front foot and he will have no problems whatsoever."