Answer:
Apparent weightlessness is the sensation a body feels, when they have nothing stopping them from accelerating at the same rate as the acceleration of a gravitational field.
Any body in earth's (or any other planets) gravitational field has weight, you just may not be able to feel it at times.
It is a common mistake to think that your weight is the force that you push down with onto earth. The force that gives one the sensation of weight is actually a force known as the 'normal reaction force'. This is the force of the ground, or anything beneath you, pushing you back up.
Thus if the normal force beneath your feet disappears, there is nothing stopping your feet from falling, and you experience 'apparent weightlessness'