This sounds very odd, when I changed the fan on my old Medion, I found that the fan block was mounted in a proprietary Medion mount. I had to replace the mounting before I could swap the fan. The block is rectangular, so 90° rotation isn't going to be possible.
The other problem I had was that the CPU was stuck to the base of the fan block by some thermal goo/adhesive and was very difficult to remove.
So while it's entirely possible that the new Medions have mounted the fans differently, I would strongly recommend owners to resist the temptation to remove the CPU cooler unless they are confident they know what they are doing.