Former Everton midfielder Arteta has more than 350 appearances in English football under his belt from his time with the Toffees and the Gunners, and has been captain at the Emirates Stadium since 2014.
However, the 33-year-old has featured just 15 times in the Premier League in the last two seasons, and there is talk that he could choose to retire and move into coaching this summer, with Pep Guardiola reported to be interested in adding him to his Manchester City coaching staff.
Arteta's fellow Spaniard Bellerin believes that it is a move that would suit the midfielder perfectly, and tipped his compatriot to start leading teams from the dugout rather than the pitch.
Bellerin told FourFourTwo: "He’s very intelligent, he knows how to play football, he’s got very clear ideas and I speak with him a lot about it.
"Even though I’m a full-back and he’s a midfielder, he’s always got words of advice for me, so I think he would make a good [manager].”
"He’s the captain so he’s got the right to be [the bossiest]. But he always does it with a positive mindset, so he’ll never try and boss you in a bad way. It’s a characteristic that every captain has to have."
The former Rangers midfielder was a key player in his first three seasons in North London, but has seen his influence and playing time diminish over the last two years due to niggling injury problems and increased competition in the midfield.
He captained Arsenal to FA Cup triumph at the end of the 2013-14 season, but did not play between November 2014 and the start of the current season because of injury.
His contract, which is due to expire at the end of the season, is unlikely to be extended and he is widely tipped to move into a coaching role rather than looking to extend his playing career.