The France star has endured a difficult first season at Camp Nou since joining for €120million from Atletico Madrid last year, scoring only eight times in 26 LaLiga appearances.
Eric Olhats, the scout who helped to discover Griezmann as a youngster, claimed to Mundo Deportivo last week that the player "isn't enjoying it" at Barca and is not being helped by the way the team plays.
With Barca expected to try to sign Lautaro Martinez from Inter and once more plot a return for Neymar from Paris Saint-Germain in the next transfer window, it has been rumored Griezmann could be sold to provide funds.
However, Griezmann appears to be focused on playing for Barca for at least another season once Spanish football resumes from suspension during the coronavirus pandemic.
Indeed, the 29-year-old seems to have his heart set on claiming the shirt number presently held by Philippe Coutinho, who is on loan at Bayern Munich and is expected to be sold by Barca this year.
While speaking to fans during an eSports contest, Griezmann admitted "I would like to get back the number seven" that he wore while playing for Atletico.
For the time being, Griezmann is simply waiting to learn when he will be able to return to Barca training with his team-mates, with Spain still in a strict lockdown as confirmed coronavirus cases have passed 80,000.
"Quarantine is going okay, but you can't do anything," he said.
"I miss football enormously. I have no idea when the competition will be back; I don't know when I will go back to training."