The 31-year-old has claimed that there is a greater sense of discipline under new manager Elie Baup, who replaced the new France coach as manager earlier this month
The 57-year-old took over at Stade Velodrome earlier in July, after a disappointing 10th-placed finish in Ligue 1 led to the former France star stepping down from his post.
Mathieu Valbuena has already spoken positively of Baup’s more authoritative approach to the role, and now his team-mate Cheyrou has echoed his team-mate's sentiments, aiming a veiled insult at his old boss in the process.
"There is more rigorous discipline and rule to our daily routines, both on and off the field. Frankly, it's not going to hurt," he told L'Equipe.
Marseille take on Saint-Etienne in their next pre-season fixture on Wednesday, their first match since they were beaten 2-0 by Benfica on July 13.