Benteke was signed by Klopp's predecessor, Brendan Rodgers, for 32.5 million pounds ($47.00 million) and under the German found himself behind Daniel Sturridge, Divock Origi and Roberto Firmino in the pecking order.
"At 25 years old, I'm neither old nor young but it's important to play," Benteke told British media.
"I still have a contract at Liverpool and I'd like to stay there, if I remain in the coach's plans.
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"If that's not the case, it will become difficult to stay. I'll think about it after the Euros. When he arrived I saw that I wasn't in his plans.
"That was frustrating ... But we had several discussions together, I respect and I understand his decisions."
Benteke was named in Belgium's 23-man squad for the European Championship in France, where they face Italy, Ireland and Sweden in the group stage.
(Reporting by Shravanth Vijayakumar in Bengaluru, editing by Nick Mulvenney)
