Sharapova, who turned 30 on Wednesday, will return to the tennis courts next week, after completing the sanction imposed by the International Tennis Federation for taking meldonium, a substance banned for athletes.
It had been thought by many in the past day that the withdrawal of Williams could help the Russian, who is probably the only player who can draw crowds like the American, though the new president of the French Tennis Federation, Bernard Giudicelli, stated that the American's absence would have no influence over their decision.
The French Tennis Federation announced on Friday that Maria Sharapova will find out during the week of May 15 if she will be permitted to compete at the French Open, which begins just two weeks later.
Though she has already received wildcards for three tournaments, throughout her ban Sharapova has strongly expressed her desire to return to and win more Grand Slam tournaments, though her participation at the French Open, the first major she can return at, is in doubt.
"It's a German tournament and we have so many good German players, so this is a little unusual", said Germany's current world number one Angelique Kerber.
Maria Sharapova's drugs ban has been reduced to 15 months following her appeal to the Court of Arbitration for Sport.
Also in the Stern interview, Sharapova again hit out at the ITF - especially the boss of their anti-doping programme Stuart Miller - for failing to warn her before meldonium was added to the banned list.
Former world number one Caroline Wozniacki said the Stuttgart tournament's decision to grant Sharapova a wildcard is "disrespectful to other players and the WTA".
"I'm not hiding my views". Not for those suspended for doping.
"Maria should rebuild her career in a different way, beginning with smaller events." the world number eight told Poland's sports daily Przeglad Sportowy.
"She wouldn't have a chance for (a wildcard) from my hands (if I was a tournament director)".
If Sharapova misses out, the French Open will go ahead in the absence of the two biggest drawcards in the women's game.