The Ivory Coast international has caught the eye of several teams across Europe following a stellar season in France, in which he scored 21 goals and bagged 12 assists.
Amongst the teams said to be interested in acquiring the 23-year-old’s services are Manchester United and Arsenal, who are both on the lookout for attacking reinforcements this summer.
And the Premier League duo will be boosted by the news the Ligue 1 runners-up have prepared themselves to lose the £69million-rated winger.
In an interview with Canal+, Galtier said: “Nicolas Pepe will leave.
“Life’s like that, football’s like that today.
“He is a player of the highest level who will have a big decision to make on the choice of his next club.
“There will be a battle between the great European teams.
“I hope that he will take good amount of time to think about it, do his research.
“Like he did when he came here and when he decided to stay here [last summer], find the right project.”
Galtier’s comments echo those recently made by Lille president Gerard Lopez, who also believes Pepe won’t be at the club come the start of the 2019-20 season.
“This summer, I think we will sell four to five players, no more,” Lopez said
“All clubs are forced to balance their accounts except perhaps one. I would yes say, it is sure he will leave.
“He enters a price range that can no longer be paid.
“There is a career choice to him make him for him, I think he will have the choice.”
Pepe joined Lille from Angers in the summer of 2017 for a fee of £8.7million.
The Ivorian has made a total of 77 appearances for club, scoring 35 goals and picking up 17 assists in the process.