In YouTube API v3 documentation there are parameters like regionCode, videoEmbeddable, videoSyndicated. But it seems none of them are work
regionCode
videoEmbeddable
videoSyndicated
Try adding &type=video&videoEmbeddable=true although this might be the same as the previous solution, it worked for. You might have a more specific problem, as if seems.
&type=video&videoEmbeddable=true