To be honest, looking at it again, its very tight as the ball is struck... is the furthest right Slovenian defender just playing the US striker onside?
I think he's marginally offside, but it could go either way.
I'll happily be corrected, but my understanding is that offside is judged by any part of the body which is allowed to strike the ball.. I think the strikers head is ahead of the defenders back leg as the ball is struck... but looking at it as a frame rather than in the video, it is close.
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Edit - ok final word from me
He is off.
If you take the line from the cut of the grass and drag it towards goal, at the exact moment the ball is struck the bald guy at the near post is half a head further forward than the trailing leg of the Slovenian defender at the far post.
If the ref gave offside (and he can without the lino's flag is he wants to and he also can ignore the lino's flag if he wants to) - its a world class decision.
If he disallowed it for a foul, I cant see anything. Several US players are being held... but offside takes precedence over foul in terms of allowing the goal.