"I haven't had the chance to speak with him directly about that, but I would imagine that he would be supportive of that," White House deputy press secretary Sarah Huckabee Sanders said on ABC's "This Week" television program.
Navy SEAL William "Ryan" Owens, 36, was killed in the raid on a branch of al Qaeda, also known as AQAP, in al Bayda province on Jan. 29, the first operation authorized by Trump as commander in chief, Reuters reported.
The Miami Herald reported on Sunday that Owens's father, Bill, wanted an investigation into the raid.
The Pentagon said the operation in Yemen killed 14 militants but also acknowledged that civilians were likely killed. Medics at the scene said about 30 people, including 10 women and children, were killed.