You should not have to disconnect at all. Over the Air and Satellite in that situation are two different connections.
The coax from the antenna should be installed to the coax on the TV. The HDMI is run to another input on the TV. Again, if you're trying to run the Sat over coax and have the antenna booster on (black button/green light next to 12V TV outlet) it will interfere with the signal.
PLEASE do not send questions via Private Message, my inbox fills up too quickly. Post questions in the forum as a new thread so that other users can benefit from the answers. Use Private Messages for sensitive information only (VIN, Contact info or things you do not want the public to see).