The Spaniard was appointed in December 2019 and led Arsenal to the FA Cup a few months later but that remains his only major trophy since replacing former manager Unai Emery.
Despite mass spending, Arteta has failed to bring trophies to North London and reports have suggested that he may leave if he does not start to find success with The Gunners.
Speaking to BetBrothers, Mendieta has suggested that the Arsenal boss could switch the Premier League for La Liga, even if it is way off in the future.
“Arteta will one day manage Barcelona, I think eventually we'll see that. Again, the connections are strong. But I think it depends on how he wants to deal with his managerial career, in terms of having his mind set to be there forever, like a one-club man sort of thing.
“Does he really want to experience football in different countries? To be honest, if he is to leave Arsenal, I see him more likely to go abroad than to another Premier League club. So, obviously, I'd say Barca would be his favourite next move if he were to leave Arsenal.
“To be honest, I don't know what's best. If he wins, he will leave. If he doesn't win, he will leave. I don't know. If he wins, he might continue to increase the number of trophies.
“We would have to be in Arteta's head to think what he wants to do in the future. But for me, I see him more on the long term, as long as possible to stay at Arsenal, rather than moving somewhere else, than leaving any time soon.”
Arsenal are still in every competition this season and are top of the Premier League. Trophies are on the horizon for the club and fans may not have to wait long to see their club lift a trophy once again.