An invisible zipper foot is not usually one of the feet that come with your sewing machine. That does not mean sewing machine companies do not make a specialized invisible zipper foot for the sewing machines they manufacture. An invisible zipper foot is not always called an invisible zipper foot, in many cases it it called a concealed zipper foot. Which ever name it is called, it is specifically designed to hold the coil of the zipper out of the way for the sewing machine needle to stitch right next to the teeth.
The specialized zipper foot shown in this photo is available anywhere that sells invisible zippers. The specialized zipper foot shown in this photo is available anywhere that sells invisible zippers. It is an economical way to occasionally sew an invisible zipper.
If you are going to be doing garment or home decorating sewing that will use invisible zippers, I recommend buying the foot that is made for your sewing machine. The following is a list of sites offering invisible or concealed zipper feet.