United start their Champions League campaign with a home game against Basel on September 12.
However, according to Manchester Evening News, executive vice-chairman Ed Woodward could have his work cut out for him as there are nine senior United players whose deals will come to an end in 2018.
Ibrahimovic has already been warned he must earn his position in Jose Mourinho's line-up, despite scoring 28 goals in all competitions last season.
United will kick off the Champions League campaign at home to Basel on Tuesday 12 September. "We need his personality", he said while on global duty with Belgium.
Jose Mourinho has revealed he is targeting the record of most UEFA Champions League matches as a manager, ahead of Manchester United's anticipated return to the competition this month.
"That is what the fans want and what they expect at a club like Manchester United".
For the group stages, Manchester United has a stacked roster.
Cole is also cautious about proclaiming United as Premier League favourites given the competitive nature of this season's title race, despite his delight at their strong start. "We have four teams who can get points, they will share points, they will discuss every result, so I think the draw is hard". And with him we are looking to do something special. So yeah, I'm more than happy.
"Things are going really well for me at United, the pre-season was good and it helped knowing a lot of the players before arriving", the striker stressed.