Having starred for Wolverhampton Wanderers over the past two seasons, Jimenez has been heavily linked with a wide range of top European clubs.
While Real Madrid are also said to be admirers, Martino feels that his compatriot would be best suited to United, who he says lack a recognised central striker.
Speaking to ESPN, Martino said: "Looking at it from the outside today I cannot see a specialist number nine like Raul at United.
"There are many forwards like [Marcus] Rashford, [Anthony] Martial and the boy who now plays as right winger: [Mason] Greenwood but since Romelu Lukaku left I can't see a pure number nine like Raul.
"At Juventus he will have more of a fight because [Cristiano] Ronaldo shares the inside of the pitch with whoever plays alongside him, with [Paulo] Dybala or with [Gonzalo] Higuain and maybe he has a tougher fight there."
Jimenez still has three years remaining on his contract at Molineux.