Hello, halfdone,
I just returned from India last Monday, to California. A full day of flying, with one 2-hour break in Frankfurt, Germany. Dr. Bose resurfaced my right hip. He wants patients to wait 11 days post surgery before any long-haul flights. I'd say that's about right. Reserve an isle seat, operated leg nearest the isle. Wear the TEDs compression stockings you'll be issued. Do "ankle pumps" from time to time. Ideally one should get up every 30 or 40 minutes and stretch and/or walk a little bit. I was less organized about it, but I did get up a lot. I left my one arm-crutch overhead storage and relied on leaning lightly on seatbacks to walk. I was in coach, so I didn't have to reach far to find a seatback. I don't like to sit for long periods of time anyway, so I spent a lot of time just hanging out around the nearest galley or bathroom. In the later parts of a long flight, more and more passengers had the same idea. Some stood there flexing and bending as I did.
I was finishing off the last of a few different pills the doc had given me. I believe one of them was simply a small-dose, enteric-coated aspirin, which would be to prevent clotting.
Honestly, it's not that big a deal. It's a nuisance being stuck on a plane either way, surgery or no surgery. I do recommend contacting the airlines in advance and requesting wheelchair service for each airport on the way home. I did, then tried to just walk anyway, and quickly found myself tired and lost. Let them roll you quickly and efficiently to exactly where you need to be. It's a real pleasure.
Good luck,
Rob