The 57-year-old can't wait to get started with Les Phoceens after replacing Didier Deschamps on Wednesday
The 57-year-old has taken over the reins from Didier Deschamps after Les Phoceens finished mid-table and failed to qualify for the Champions League.
Baup has not worked since being sacked as coach of Nantes in 2009 and now faces the job of revitalising his side on a limited budget.
However, Baup is relishing the new challenge and thanked his new employers for their faith in him in his introductory press conference.
"I'd like to thank the management of the club for the project they proposed and the confidence which they placed in me. This dynamic was what made me want to give my all for this club," he said.
Marseille director Vincent Labrune also spoke at the press conference and outlined why Baup was chosen ahead of a 'crazy' number of applicants for the job.
"We wanted a French-speaking coach with experience, who has won things and wants to rely on our internal resources, because there is quality [here]. The approach of Elie came, after a difficult season, for a new season which will see minimum reconstruction. We don't lack ambition, but we're realistic.
"We're happy that Elie is with us. We received a crazy number of candidates from great coaches.
"We met Elie very quickly and it became obvious that his vision for the club and his views are in line with what we want for the club: for this season, and those to come," Labrune concluded.