As was said: lifting the screwdriver would cause the equal and opposite reaction that would reset his physical position. Unless the screwdriver was imparting its energy somewhere other than Zdravko, it wouldn't work.
As I'd put it two posts above(albeit in the edited section, so it might've been missed), lifting the screwdriver will produce less angular displacement than throwing it down, as long as the lifting part is done by keeping the screwdriver as closer to the centre of Zdravko's mass than when it was thrown down.
@Irmo - the fact that it has been thrown, i.e. actually in-flight, and not connected to Zdravko himself doesn't factor here at all.
In fact, there is no need to throw the screw driver at all. You just need to hold it in your arm extended as you bring it down towards your feet, and then keep the arm close to your body as you lift it. You are in this way moving the screwdriver in closed circles, and according to the conservation of momentum, causing the rest of your body to rotate in the opposite direction. What's more, there's no need to use screwdriver at all(but it makes it somewhat faster) - Zdravko can simply move his arms(or legs) in circles to cause the same effect. It's a nice method, because the rest of his body stops spinning as soon as he stops moving his hands. He should take care to keep the movements symmetrical, so as not to start turing alongside some weird axis.
There is another way of doing it - it's slower, but less tiring(oh, Zdravko you lazy bum you) and involves conservation of angular momentum as well.
Take the screwdriver, and make it spin somewhere close to Zdravko's centre of mass(close to the stomach, I presume) - you're transfering some angular momentum to the screwdriver, and so for the rest of the cosmonaut-screwdriver system to still have 0 net spin, Zdravko's body must spin in the direction opposite to screwdriver's spin.
To stop rotating, Zdravko simply needs to catch the screwdriver.(this has been suggested above by Irmo the ninja)