I believe this is "Mr. Stitch", a TV movie that aired on the Sci-Fi Channel in 1995. I remember watching at least part of this. I definitely remember the main character was made up of parts of many different people, and the room he was kept in was white so as to not overwhelm his senses right after he woke up.
There is a brief description of the movie in Variety's review at
where they mention the patch-work appearance, the sterile white room, the main character prefers the name Lazarus, and was played by Wil Wheaton. (!)
Here is the summary from the top of the review:
Title character (Wil Wheaton) who prefers to call himself "Lazarus," was created by team of scientists headed by Dr. Rue Wakeman (Rutger Hauer), using parts of more than 80 men and women of various ethnicities who have donated their bodies to science. Fortunately, in light of pic's two-hour timeslot, Lazarus comes pre-programmed to speak English and behave like a more-or-less human being -- though he's super-strong and looks like a patchwork quilt of various skin colors. Tom Savini's makeup work here is a terrific effect; like nothing you've seen before.