Indeed, flat Earthers believe they travel in orbits as well. But above a disc shaped Earth:

^source

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.""