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Van de Beek was handed a rare start against Young Boys on Tuesday, however, he was subbed at half-time before United's shock European defeat.
Having gone down to ten men due to Aaron Wan-Bissaka’s red card, Solskjaer defended his decision to sub off the out-of-favour midfielder, claiming it was "tactical decision".
Adding further fuel to the fire, Ince - a former United midfielder with 206 appearances to his name - says the £40m man will "never make an impact" at Old Trafford.
“Absolutely no chance," said Ince when asked by The United Stand if he will turn out to be a success.
“It's always tough when you don't play to come and make an impression on your first start and to sub him off at half-time.
"What does it say to us, what does it say to the fans, what does it say to Donny? If I can't get a full game against Young Boys, ten men or no ten men, then it's time for me to go.
“There's nothing Ole could say that would persuade me that my future is at Manchester United."
Ince even went as far to name at least six players that are ahead of him in the pecking order as he tipped the United outcast to leave before the end of the campaign.
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