This is illegal

"Employers should note that under section 413(a) of ACWIA, which
amends section 212(n)(2)(C) of the INA, an employer may not require an
alien beneficiary to reimburse or otherwise compensate the employer for
all or part of an H-1B petition filing fee. Therefore, the Service will
reject remittances from an alien beneficiary or the alien's
representative that accompanies an H-1B petition."

Source:
http://www.shusterman.com/h1bfees.html

The company has to pay the filing fee.