Here is an article I found that may be helpful.
"Panther chameleon
Panther chameleons are egg-laying chameleons. They are one of the easier chameleon species to breed. They don’t normally adhere to any specific breeding-season pattern in captivity. As long as you have a receptive female and a male who is willing, all you need to do is let nature take its course.
Most male chameleons are readily eager to breed at the sight of a female. His excitement will be indicated by a peculiar ‘ritual’ that male chameleons do. He will vigorously start “head-bopping” or “head-jerking” – where he energetically nods his head up and down approximately one time per second. At the same time you will also notice him turning his head very slightly from side to side. If a female is receptive, she will either stay on her perch and wait for his advances, or she might slowly wander around her cage, “inviting” the male to pursue her. You will know immediately if a female isn’t receptive and wish not to breed. At the site of a male, she will puff up, gape, and display dark colors. This means that you should call it a day, and try a few days later, or a week later.
Generally, you can either introduce a male to a female’s cage or vice versa, but have the chameleon that you are introducing to a new cage on your hand or a perch and show him/her to the other to see how they react towards each other. That will tell you whether it is the right time to breed. Keep and eye on them, for if there is one of them that does not have the same idea as the other, aggression might ensue, and injury to either chameleon is potential.
If all goes well, the male will be in pursuit of the female for several minutes, until they both finally settle down. The actual insemination process can take anywhere from 2 minutes to 30 minutes. As soon as mating ends, you may or may not immediately be able to see your female’s gravid (pregnant) coloration. Typical gravid coloration is your female's bright, receptive color, with her vertical bars darkened. After that you should remove the male, and take proper care of your female!"
I found this on wizardoflizard website. Do a google search and look through the information that is out there.