Is it safe to leave are propane gas oven on all night?

Well are heat smells bad so my parents came up with the idea to leave the oven on with the oven door open some. I thought that is a stupid idea cause i dont feel like dieing in the middle of the night. Is it safe? We have carbon monoxide meters i think there calld. Im upstairs on the 2nd storey. Will opening my windows help any just in my room? I like it cold anyways