Woodward this week gave Solskjaer his public backing, suggesting the pressure is off the Norwegian for the time being.
"You hear chairmen come out and say that and then next minute the manager is gone," Ince told Mirror Football. "You hate it, it is the worst thing you can get as a manager a vote of confidence.
"So unless that changes then it will change the way people think - it will change the way fans think. Obviously Man United fans love him, he scored the winner in 99', but fans can turn and once they do it's a tough one."