The 28-year-old forward had been linked with moving away from the Catalan Giants on and off during the January 2022 transfer window, due to lack of game time.
With his contract up in June 2023, Barcelona could be open to selling Memphis in January 2023 in order to still secure transfer money for the transfer.
The Dutch international striker originally joined Barcelona from Olympique Lyon in June 2021 on a two-year-deal.
On Monday, Memphis came on as a 62nd minute substitute for the Netherlands in the 2-0 World Cup victory over Senegal in the Group A clash.
After the match, Memphis was asked by reporters at the Al Thumama Stadium what his current situation was at Barcelona, he replied: "I don't know. I don't know what will happen next."
The Catalans are expected to push for a sale to get a cash injection for 2023. In the past they have not offered a decent renewal option to Memphis.
According to Spanish reports, Arsenal, Chelsea and Manchester United all have an interest in the Netherlands international following his call-up for the World Cup.