G'day PG3,
I don't fly the B737 but I do fly the B767 and the engine INOP approach procedure would be pretty much the same.
The approach is flown with rudder applied to counter the asymmetry but in the flare as you close the thrust lever on the live engine the asymmetry goes away and you essentially land with the rudder central unless of course there's a crosswind. When making an asymmetric approach the rudder trim is usually centred at around 1000' HAT, this means that when you centre the rudder as the thrust comes off you are not fighting against already applied trim.
Flare a little less and a little slower due to the higher approach speed but otherwise it's no big deal.
Are you doing a B737 norsement at the moment?
Good luck with it, regards,
BH.