United strengthened their grip on the group with a comfortable 4-1 win against their Turkish side thanks to a brace from Bruno Fernandes and goals from Marcus Rashford and Daniel James.
Van de Beek was given a rare start for the Red Devils, starting in a deeper role alongside Fred in a 4-2-3-1 system.
The Dutchman is still waiting for his first start in the Premier League following a £35million arrival from Ajax but Hargreaves believes he’s played his way into the starting line-up after his performance against the Turks.
‘Van de Beek is so unselfish that he can just fit in,’ Hargreaves told BT Sport.
‘I think he’s played himself into the starting lineup.’
Aaron Wan-Bissaka was removed on the hour-mark after Solskjaer revealed the defender has been suffering with an ankle issue, while Victor Lindelof also came off with a back problem.
Edinson Cavani will be hoping to make his full Premier League debut after impressing from the start against Basaksehir.