The 22-year-old has hinted that he may leave the Gunners due to a lack of regular football.
Bendtner was not part of the squad that managed to beat Everton on Sunday.
“He was not in the squad today because he had a little groin problem and I left him at home,” said Wenger.
And the manager insisted he still had a future at the club when asked.
“Yes, for the length of his contract – that is three more years,” he added.
“I want him to stay. I have known him since he was 16-years-old and I have a strong rapport with him.
“I like him as a player and a person, even if I do not agree with every statement. Overall I want him to stay and be part of the group.”