Carney believes Lampard can get the best out of the England international in this 2019/2020 campaign.
Barkley was mainly used as a substitute under former Chelsea boss, Maurizio Sarri, last season.
The 25-year-old, who joined Chelsea from Everton in January 2018, has scored just six goals in 52 appearances for the West London club.
“I think this is his [Ross Barkely] season,” Carney told BBC Radio 5 Live’s The Monday Night Club.
“I saw his confidence go under Maurizio Sarri last year. He was a 60-minute man and it is demoralising as a player knowing that when the clock hits 60 minutes you are going off.
“I think Frank will educate Ross to push on.”
Carney added: “Everyone is not sure what to expect from Chelsea. Watching Chelsea a lot last year, I hate to say it but it was a one-man show, but when you lose such a big player you make up for it with your team.
“They may have lost Hazard but now let’s see what the Chelsea team is all about.”
