The Denmark international made a second-half cameo as Juve were held to a surprising 1-1 draw at Nordsjaelland in the Champions League, in Bendtner’s homeland.
The lanky striker, who struggled to get in the Arsenal side and has spent time on loan at Birmingham and Sunderland, was only making his second appearance of the season after leaving the Gunners in search of first-team football.
"I have the quality to be a part of this great club," he said in a Danish television interview widely reproduced by Italian media.
"I don't see why I shouldn't play and I hope to soon be a first-team starter.
"I can play in this team and I've shown that. I'm not at 100 per cent, but I'm convinced that I can do well."
Juventus, who have 22 points from eight games, next play away at Catania's heavily Argentine-influenced side in Sunday's early Serie A kick-off.
The Sicilians, who have made a respectable start to the season with 11 points, will attempt to end Juve's 47-match unbeaten run in Serie A which stretches back to the end of the 2010/11 season.