There were huge expectations for Bendtner to leave the Emirates Stadium in the close season, and nearly sealed a transfer to Bundesliga outfit Frankfurt before the German club pulled out of the deal due to financial reasons.
The 25-year-old is on the outside boundary of the Arsenal first team, with France international Olivier Giroud regularly chosen to head the line, and spent the two previous seasons on loan at Sunderland and Juventus respectively.
The only goals Bendtner scored this season came when playing for Denmark in a 2-2 draw with Italy in October.
With a total of three Premier League appearances this season, all from the bench, Olsen has told Bendtner to seek new pastures in the January transfer window in order to elongate his career.
“Bendtner scored two great goals for us in the game against Italy, but there were also things he lacked in the match and this only comes through playing games,” Olsen told reporters
“It is for this reason that he should find something new this winter. I think he will make the recommendation to himself and that is the main thing. Footballers want to play football.
“He has maybe 10 years left to go; he must use them well.”
Bendtner hopes to gain a starting berth on November 15 in a friendly between Denmark and Norway .