United are into the fourth round after victory over Reading.
Before the tie, Solskjaer revealed he's loved his brilliant start at the club after winning all four of his games.
He told BT Sport: "It's been a hectic couple of weeks but it's been fantastic and now the FA Cup is a great competition to be in and you can win at the end as it is a trophy we can go for.
"I'm going to enjoy it however long it is going to be. Five months, four months, three months – it doesn't matter. I'm going to enjoy it for as long as I'm here. If you don't enjoy being at Man United, you're not going to enjoy working in football."