LOL when we arrived there was a slider and verticals. We replaced with the french doors where one side is stationary. Then DH made wood cornices and I covered the verticals with one drapery panel. We RARELY as in maybe never close them..but if I NEED the privacy or to eliminate the black hole I can. Excuse the Christmas.

I don't have a french door, I just have a sliding door, but I also have little room on either side - plus I do not like the dust-gathering-ness of draperies. I have been using a pleated shade over each glass, mounted above the frame of the window and overlapping the edges of the door. I am moving to roller shades. They can be mounted with extender brackets so that the shade does not hit the handle. They can be made any width or length. You can mount them right on the wood door or above the frame above the door. You can sometimes get two shades in one top valance (called the cassette) that can be made of plain plastic or can be covered with the same fabric as the shade. You can probably get roman shades the same way (I mean with the bracket to extend it out from the wall.)

You can also get roller shades without the cord, that go up and down with just your hand's pressure, or electronically. The electronic ones can often be controlled with your home's automation (like Alexa) or you use the remote control. There are rechargeable batteries in the head piece that are supposed to work for up to six months, then you haul out the charging cord and charge them a few hours and you are good for another six months.
I plan on ordering mine as soon as I can settle on a fabric choice.