Yes, if your daughter files a Form I-130 petition concurrently with his Form I-485 [green card] application before the expiry of the 90 day VWP period, he can remain in US while his case is pending adjudication. You must however, note that with respect to petitions filed by or at the instance of aliens who entered United States under the Visa Waiver program, there are certain nuances and quirks of immigration law that must be taken into account.
Answered on Sep 03rd, 2013 at 9:48 AM