The phrase "accepted his request" is correct and usable in written English.
You can use it when indicating that someone has agreed to or granted a request made by another person.
Example: "After reviewing the proposal, the manager accepted his request for additional resources."
Alternatives: "granted his request" or "approved his request."
After a brief adjournment, the court accepted his request.
He made his feelings known to the board, who "reluctantly" accepted his request.
The board accepted his request – and the manager sacrificed a small fortune to look after his mate.
A few feet away, his computer accepted his request, and Ravi and Wei saw a live video image of Room 30.
By then, the public prosecutor had written a report saying there were grounds to suspect "simulated contracts", and the judge had accepted his request to take on the case.
Flanker Sam Lewis has left the Ospreys after the region accepted his request to have his contract terminated.
Though I publish my every movement — from the mundane to the salacious — on the site, and there might be things about my life that I wasn't sure I wanted to share with him, I seriously considered accepting his request.
Meanwhile Chelsea suffered a blow in their pursuit of the England defender Stones when Martínez confirmed Everton will not accept his request to leave and told the champions that "money can't buy everything".
General McChrystal, 55, did not mention Mr. Biden or his advocacy of a scaled-down war effort during his London speech, and referred only obliquely to the debate within the Obama administration on whether to escalate the American commitment in Afghanistan by accepting his request for up to 40,000 more American troops on top of the 68,000 already deployed there or en route.
A careful examination shows that, given the judicial and material situation of Mr. Assange, France cannot accept his request.
