"She has complied with the sanction imposed", Simon said in a statement emailed to The Associated Press.
"There are no grounds to penalise any player beyond the sanctions set forth in the final decisions resolving these matters".
Announcing the decision on a live Facebook broadcast Tuesday, French Tennis Federation president Bernard Giudicelli said he told Sharapova in person that it was not possible.
Meanwhile, Maria Sharapova, will not be given a wildcard to qualifying or the main draw at the French Open, which begins on 28 May.
Bouchard said she had "a lot of players coming up to me privately, wishing me good luck", without naming who those players were.
Sharapova was forced to retire from her second-round clash at the Italian Open in Rome because of an injury to her left leg, having took to the court just 30 minutes after Giudicelli's announcement. After all the controversies about her participation in the French Open, the organizers has chose to not give her the wild card for this tournament.
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After the ban expired on April 26, the Russian returned to competition at the Stuttgart Open, reaching the semi-finals, and progressed to the last 32 of the Madrid Open, too late to earn herself a qualifying spot for Paris. Some players were critical of tournament organizers who allowed Sharapova into the tournament without any ranking points.
Sharapova will now have to wait until 20 June to discover whether she is among the wildcards at the All England Club.
Early previous year, Sharapova announced that doping tests revealed the presence of the banned performance enhancing drug, meldonium, in her body.
However, the Swiss-based Court of Arbitration for Sport (CAS) ruled on October 4, 2016 to cut her suspension term from 24 to 15 months.
It is a courageous and principled decision, which will upset some fans and broadcasters. It's going to be a very exciting fortnight at Roland Garros.
This will be a big blow for Sharapova as she was preparing hard to make a comeback to the grand slam arena.
Pat Cash would not hand Maria Sharapova a wildcard entry for Wimbledon
However, WTA chief Simon insists the FFT are not in a position to hand Sharapova further punishment. And assuming she is fit, she is likely to want to play at least two warm-up events.
Guidicelli's argument is that he has "paid his debt" - as his wildcard for Roland Garros was rescinded at the last moment a year ago when he first came under investigation.
The 30-year-old would have needed to reach the semi-finals to gain automatic entry into the main Wimbledon draw, but has at least secured a place in the qualifying event at Roehampton should she be fit enough to take part. The Lawn Tennis Association has already offered her a wildcard into the WTA event in Birmingham.
If tennis is the meritocracy idealists want to believe it is, then give Sharapova a spot in the qualies and let her play her way in.
Maria Sharapova, after learning she wouldn't receive a wild-card entry into the French Open, dropped out of the Italian Open with an apparent thigh injury.
Jose Morais, GQ Portugal: Roland Garros will have neither Roger Federer, nor Maria Sharapova nor Serena Williams competing for the first time since 1997.
Storm Team 12 Weather Alert Thursday: Severe Storms
Look for a mix of sun and clouds with highs ranging from the lower 70s over northern Kansas to the lower 80s across the south. We'll be dry on Wednesday into Thursday before showers return late in the day Thursday into Friday as a cold front moves in.