Impudent; shameless or brazen — behaving without modesty or regard for others.
彼は人の家に土足で上がってくるなんて図々しい。
He's so brazen as to come into someone's house with shoes on.
図々しくもお願いですが、締め切りを延ばしてもらえませんか。
This is audacious of me to ask, but could you extend the deadline?
そんなに図々しいことを言わないでください。
Please don't say something so shameless.