i-adjective
Colloquial emphatic form of ずうずうしい, adding いけ for extra force. Used for someone who is brazenly rude or has no sense of shame.
See also: 図々しい (ずうずうしい)
That person's impudent attitude really makes me angry.
いけずうずうしいお願いかもしれませんが、もう一度チャンスをいただけませんか。
This might be a shameless request, but could you give me one more chance?