I can't see exactly how this is mounted to your roof, but from what I can see, it looks like a typical "sailboat style" VHF antenna that is perhaps mounted directly to the roof? If so, there may not be an easy way to lay it down, depending on how the cable/seal is done (which I can't see). Here is a photo of it:
It's been awhile since I worked with one of these, but I think the cable just comes out of the bottom, and then the antenna is secured to the inside of the boat with a ring/nut like dealie. If you unscrew that, the antenna should come loose, but then there would need to be enough cable to lay it down and plus... not sure how it is caulked/sealed. (Unless there is some provision for laying it down that can't be seen in the photo.)
If it is indeed not "lay downable," then I would consider changing antenna/mount, if it were me. Most of the ones used on boats like this have a manual lever (no tools) that allows one to lay it down, put it back up, or change the angle really easily. There are ones that fasten to a surface (i.e. roof) with four fasteners, or others that just fasten to a handrail (such as the handrail that you use to go forward that's on the roof). West Marine and others carry them. The roof handrail on my boat is 7/8". I think you would need a new antenna for this as well, but not 100% sure. I just put a new antenna on my boat this summer, so the mount options are fresh in my mind (but I didn't use a sailboat antenna, so that part is just in foggy memory).
Side note: My antenna came mounted to the side of the cabin (in the vicinity of the starboard running light), but I will probably move it to the roof at some point (but going to wait until I know better how I'm going to use the roof, since I have no holes up there and have to make a decision). It is handy to be able to reach it from the helm (or the ground next to the trailer) to raise/lower it, but it's slightly in the way when trying to move forward or aft on the starboard side deck. I did replace the antenna/cable this summer, so I had the mount off and back on again, but just put it back in the same spot for now.
Sunbeam
Edited to add: Here are a couple of photos of the antenna/mount on my boat, just to show you typical ratcheting mechanism, etc. The same type of mount can be mounted with the flat part on a horizontal surface, such as a roof. (Ignore the blue box behind it; that contained the end for the new antenna cable fitting, which is not shown in the photo.)
