Huh? A Quebec skilled worker is not required to stay in Quebec. If somebody gets their PR through the Quebec skilled worker program, they are expected to settle in Quebec, that is true, but if they get a better job offer from another province, nobody will force them to stay in Quebec and it will also not affect them getting citizenship in 3 years.
To get your PR through QSW, you do however in most cases need to speak French. There is a points system so if you have high points in the other categories, it is possible to slip by without it.