Berizzo was confirmed as Sevilla's new manager earlier today following a three-year spell in charge at Celta Vigo, during which time he worked with Nolito.
The Spain international has made no secret of his desire to leave Manchester City this summer having fallen out of favour under Pep Guardiola during the second half of last season, and Berizzo talked up the possibility of reuniting with the attacker.
"I like Nolito a lot because I know him. As to whether we sign him or not, it's something that is in the air. The circumstances of if he arrives here or not is the work of my colleague," he told reporters.
Nolito scored six goals in 30 appearances during the 2016-17 campaign, but made his last Premier League start for Man City on Boxing Day.