Why do some teams insist on wearing the American flag backwards on their sleeves?
It’s not backwards. Proper flag etiquette calls for the blue field to face forward, so the flag looks like it’s fluttering back as it (or the person wearing it) moves forward. So if a flag patch is worn on the right side of a garment or vehicle, it should be oriented like so. This applies to sleeve patches, helmet decals, military uniforms, buses, the space shuttle, Air Force One, and so on.