The Dutchman was under huge pressure going into the match at Old Trafford after United had lost four competitive matches in a row for the first time since 1961.
And with Van Gaal also hinting on Saturday that he may decide to call it a day should his side lose at home to the champions, all eyes were on the Theatre of Dreams.
However, with United unfortunate not to claim a much-needed victory after producing a far more convincing performance than in recent weeks, Van Gaal confirmed after the full-time whistle that he will not be quitting his post.
“There is not any reason to resign for me,” he said in his post-match interview. “Maybe the media wants that, but I shall not do that.”
Van Gaal was also adamant that his team’s improved display against Chelsea demonstrated that his players were all behind him.
“The players are fighting for me,” he added. “It was a good performance but we didn’t have the luck we needed.”