Indeed, flat Earthers believe they travel in orbits as well. But above a disc shaped Earth:
This does not contradict Muhammad's belief that the sun sets in a puddle. That's what the Qur'an says. Will you acknowledge it?
"Until, when he reached the setting place of the sun, he found it setting in a spring of black muddy (or hot) water. "
"He asked: Do you know where this sets? I replied: Allah and his Apostle know best. He said: It sets in a spring of warm water.""
RE: More Flat Earth Memes! In Case Your Faith in Humanity Was Not Completely Destroyed Yet.