Stroll has often been criticised for his position within the sport, with Fernando Alonso consistently outperforming him, because his father - billionaire Lawrence Stroll - owns his current team.
The Canadian's contract with the Aston Martin team is set to expire at the end of this season, and he is one of 14 drivers who may be looking elsewhere due to expiring contracts.
SPORT1 have said that the 25-year-old has come to the end of his tether in racing, and is seeking to go into the management side of the Aston Martin setup, alongside his father.
The Silverstone-based outfit may be looking to partner Alonso with a bigger name from 2025 - if the Spaniard stays with the team - in the hope that they push towards race victories and maybe even a world championship challenge in the future.
Unless Alonso moves on to pastures new or decides to retire, that would leave Stroll without a seat in the sport, and potentially forced into a spell on the sidelines learning from father Lawrence.