Quick Feet raises the ability-bearer's Speed by 50% when inflicted by a major status ailment (poison, burn, paralysis, freeze or sleep). If paralyzed, the Pokémon does not suffer the usual drop in Speed.
All other effects of the status condition remain, e.g. losing HP each turn (poison, burn), speed drop (paralysis) or being unable to attack (paralysis, freeze and sleep).
It says the pokemon won't suffer the usual speed drop then says the speed drop remains