My parents do not go to walk on weekends.
My parents do not go to walk on Saturday and Sundays
以上两种均为你想要的意思，我的父母星期六和星期天不上班。
参考如下：
My parents don't go to work on weekends.
百度教育团队【海纳百川团】为您解答
My parents don`t work on weekends!
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