A trio of Sky Blues players celebrated the historic win on social media.
Nottingham Forest have placed Paul Williams in charge of the first team, following the departure of Dougie Freedman.
Van Gaal's position has come under some pressure this season.
Swansea City and Aston Villa go head-to-head this weekend.
Mark Warburton's men have conceded the fewest goals of any team in the Scottish Championship.
Spurs are reportedly keen to reward the Argentine with a new deal.
Matt Smith has scored just one goal in 17 appearances for Fulham this season.
Sunderland and Newcastle United go head-to-head this weekend.
Jonjo Shelvey is expected to be omitted from Roy Hodgson's squad for the friendlies against Germany and the Netherlands later this month.
Nottingham Forest have snapped up Federico Macheda on loan from Cardiff City.