It seems like every other week, we read a story about an impersonator cop pulling someone over here in Texas. First things first, in the Lone Star State, it is perfectly legal for an unmarked police vehicle to pull you over. That's why it's important to understand a few things about these patrol cars in Texas. Can Unmarked Police Cars Legally Stop You In Texas? Explain that you are being pulled over by an unmarked car and provide them with your location.