Sharon Osbourne may have lost her “America’s Got Talent” gig, but Green Day singer Billie Joe Armstrong thinks her talents are endless. The rocker, 40, declared his lust for Mrs. Ozzy Osbourne, 60 next month, at Irving Plaza Saturday. “Y’know we played ‘America’s Got No Talent’ the other night,” he sniffed. “I looked at Sharon Osbourne and just thought. . . ‘God, I want to [bleep] you.” The crowd seemed to respond with equal parts delight and disgust. Armstrong was spotted Monday in the audience of Paul Rudd’s Broadway play “Grace,” at the Cort Theatre — where Marisa Tomei and Jeff Goldblum have also been seen.