Louis van Gaal has described stories suggesting he offered to resign as Manchester United manager as “awful and horrible”.
United have won only three of their past 13 league and cup games.
Van Gaal and his players were jeered by fans at the end of Saturday’s 1-0 Premier League home defeat by Southampton, prompting renewed speculation about the manager’s future.
“It is the third time I am sacked and I am still sitting here,” said Van Gaal.
United are fifth in the table, 10 points behind leaders Leicester City with 15 games remaining.
They are at Championship side Derby County in the fourth round of the FA Cup, a competition that helped save Sir Alex Ferguson in 1990, on Friday.
Ferguson was three years into the job at Old Trafford and United were plummeting towards the old First Division relegation zone when they faced Nottingham Forest in the FA Cup third round.
The word was out that defeat would see Ferguson sacked. They won 1-0 and Ferguson went on to become English football’s most successful manager.
Asked on whether the FA Cup could become his saviour, Van Gaal added on Thursday: “Of course.
“But when you lose it is more worse. “