Reports have claimed that the banner will carry the message, 'Wrong One - Moyes Out', in reference to the 'Chosen One' banner at Old Trafford that is in honour of the under fire Scotsman.
"I can understand their feelings, but it is not the way I would do it," Stirling told BBC Radio 5 live. "This is part of a bigger story about the appointment of David Moyes. He was the 'chosen one' and we had Sir Alex Ferguson on the pitch at Old Trafford telling the fans to get behind him.
"The 'Chosen One' banner should not have stayed longer than the Chelsea game at the start of the season. We now have a ridiculous situation where stewards are guarding it."
United have suffered 10 Premier League defeats under Moyes this season, and currently sit seventh in the table, 12 points adrift of a Champions League spot.