The 22-year-old has emerged as one of Europe's hottest properties following his red-hot form which has resulted in 24 goals in all competitions for the Ligue 1 side this season.
Ravanelli knows a thing or two about the French giants, having spent two years there until 2000, and the former Italian marksman suggests that Batshuayi should stay at the Velodrome and earn something of a legendary status.
Speaking to L'Equipe and quoted by Team Talk, he said: Ravanelli has told the club to stay at OM and become a club legend: “Why would you not want to become the symbol of Marseille?
“OM is a great club, we must build around him. But I do not want to pressure him, Juventus, Arsenal, Chelsea, Manchester United is possible.
“He will have to have that desire to progress in training and humility in his work to make that step.”
Batshuayi is contracted to the French side until 2020, meaning that he is unlikely to come cheap for the Hammers or Spurs - or anybody else this summer.