The Belgian striker is currently training with 22 of his compatriots in France as Marc Wilmots' side warm up to face Italy on Monday - but was asked about what lies ahead at club level in a press conference at the Red Devils' training ground.
The 25-year-old, who was identified as the answer to the Reds' goalscoring woes last summer and signed for £32.5 million from Aston Villa, struggled in his first season at Anfield.
Although he scored 10 goals, he disappointed across his 42 appearances in all competitions and towards the end of the season was merely an option off of the bench having fallen down the pecking order behind Divock Origi and Daniel Sturridge.
He has made just seven starts since the turn of the year, with even attacking midfielder Roberto Firmino becoming a more popular option with the Belgium international struggling to fit into a different system and style-of-play at Liverpool.
As a result, Benteke has been linked with a move away this summer - with West Ham United and Chelsea some of those teams reportedly interested - but the striker insists that he'd like to stay and fight for his future, though only if Klopp sees a place for him in his squad.
Reds' striker keen to stay, as long as he is wanted
He declared that at 25 years old, he is "neither old nor young" but said that it is "important to play" as he spoke at a press conference prior to the imminent European Championships in France this summer.
"I have a contract at Liverpool and I'd like to stay there, if I remain in the coach's plans," said the Reds' No.9, who added that "if that's not the case" then it will "become difficult to stay" at the club.
However, he continued that he will "think about it after the Euros" as he explained that he was "prepared" for a difficult first campaign after his switch from Villa Park, saying: "I knew that if I had mixed performances, I would be criticised. That's what happened."
Benteke acknowledged that as soon as Klopp's arrival, he knew that he "wasn't in his plans" and called it "frustrating" as he said that, after his first season at Villa, the German boss "wanted" to sign him for Borussia Dortmund.
"But we have several discussions together," Benteke, who rejected a move to the Chinese Super League earlier this year, added. "I respect and I understand his decisions."