What Happens When You Fail to Give Notice at Work in the US We weren’t able to create a summary for you . Refresh your page to try again. You're free to quit at any time, with no notice if that's what you want to do. Now, if you have an actual employment contract (uncommon), or if you're in a union with a union agreement, that may complicate things. You're free to quit at any time, with no notice if that's what you want to do. Now, if you have an actual employment contract (uncommon), or if you're in a union with a union agreement, that may complicate things.