An LCD monitor by design is absolutely flicker-free (no, don't call me an idiot yet, read on) since the picture is stored in the pixel matrix, i.e. you are looking at a large memory chip where the bits are shown as colors/different brightness.
During the scan of the sequential analog video input the values are digitized and written to the matrix. This is the big difference to a CRT where the scan is transferred to the tube, lighting a pixel for a very short time, which keeps getting darker until the next scan.
Interlaced video has the problem of separate odd/even fields being transmitted alternatively, so a progressive display like an LCD has to adapt to the signal. There are various methods of doing this, differing in price and quality and some don't do it well - that's why LCD monitors are roughly the same picture quality, but there are large differences in LCD TVs, esp. when it comes to fast horizontally moving objects (marquees etc).
A good LCD TV will flicker fix Amy pretty well, but due to the different methods not every model is suited for this purpose.
So I wouldn't buy any LCD TV without testing it very throughly before, or without refund option.