Dalglish says that Wenger was out of order for accusing Luis Suarez of diving.
Wenger felt the Uruguay striker dived to win a penalty when the two sides met earlier this month, saying: "Nobody touched him."
Dalglish feels they could take a dim view of Wenger's criticism of another team's player.
Dalglish: "I'm sure the FA will look into it and take him to task.
"If you can't comment on the England manager's position, then I'm sure he can't comment on another player.
"He never said that to me, 'Suarez is a diver.' He said it was a fantastic performance and they were very fortunate to win."