Vasseur is set to succeed Mattia Binotto after the latter announced his decision to resign at the end of the year following a tumultuous 2022 season that saw the Italian constructor lose out on both Championships to Red Bull.
Given the pressure that is put on a Ferrari team boss, the position is arguably the hardest for anyone to fill in Formula 1 but in Vasseur, Ferrari at least have an experienced team leader with the Frenchman having been in charge at Sauber since 2017 and before that, he spent a single season as boss of Renault.
Back before his time in Formula 1, Vasseur founded the ASM team which competed in the Formula 3 Euro Series and it was there he met the fresh-faced Grosjean.
Grosjean won the Championship in 2007 and 15 years on from his victory, he has backed his former boss to succeed at Ferrari.
"Ferrari is a huge challenge for anyone," Grosjean told Italy's La Gazzetta dello Sport.
"But I am convinced that Fred is up to the task. He is close friends with Charles Leclerc, which should help the atmosphere, and he also knows Carlos Sainz very well.
"Ferrari had a very good car in 2022. Unfortunately, the team leadership was not so good.
"I believe that Ferrari can have a say in the title next season."
Grosjean also described Vasseur as a "born competitor" and said he had never met a team boss who had such a good feel of what a driver needs.
"I won Formula 3 for Fred's team in 2007," Grosjean said. "He's a born competitor who understands motorsport through and through.
"I've actually never met a team boss who has so much technical understanding and a very good feel for what a driver needs. Sometimes it was almost as if he were a driver himself."