United remain fourth on the table, with one point ahead of Chelsea, which was forced to a 2-2 draw at Stamford Bridge by Leeds United.
England, meanwhile, are left heartbroken after suffering defeat in a second consecutive European Championship final.
Southgate had initially named a 33-man preliminary squad but had to drop seven before the June 7 deadline for countries to submit their final squads.
It was the Red Devils’ fourth victory over Nottingham Forest across all competitions this season.
Arsenal failed to extend their lead atop the Premier League table after they were held to a goalless draw by Newcastle United at the Emirates Stadium.
“We can’t think, ‘we’ve done it now, we’ve got out of our rut, and everything’s perfect, everything’s fine’. It’s not,” said the player.
A win for Liverpool will put them on the same point with Manchester United.
