The proper way is to replace the piece, but this is either laborious if you have to replace planks until you get to the damaged one, or it is very difficult and risks damaging the rest of the flooring, especially if you attempt lifting it out by lifting and wiggling the whole floor.
This assumes it's a click-in type.
If you have an extra piece for replacement, you can cut the damaged one out using a "horizontal reciprocating saw", and replace it. Don't cut at the seams, and instead cut along the diagonals so you lift it out in 4 pieces, each a triangle, leaving the edges of the surrounding tiles in tact.
To insert it you have to modify the new piece by cutting away the bottom side of any lips so that it can be dropped in place. Since it won't click lock, you'll use glue on the seams. You may be lucky that you can click it along one or two sides, and then you only need to cut and glue the remaining two or three.
Before dropping in the new piece be sure to inspect and prepare the floor underneath: remove high spots, fill if needed, and tuck in some underlayment if there is none. It's important that the floor is level and smooth at the location of the crack.
If you don't have an extra you can attempt a repair. To level the top of the tile you'll have to push one side down (easy) or lift the other. In order to lift one side, you can try by applying some tape and pulling it by the tape. Or you can tap in a thin screw and pull it by the screw head (using pliers if necessary). Once you know you can align both sides (this is your "dry run"), separate them, apply glue, re-align and hold until dry. You'll use an epoxy glue for this.
If you used a screw, remove it after the seam is dry and fill the tiny screw hole with glue.
I doubt it's necessary after the above repair, but you can stop the crack from growing by drilling a tiny hole right at each end of the crack. Then fill the hole with glue for aesthetics. The hole changes the tension around the end which helps prevent further ripping.