Under AZ employment laws can an employer charge an employee a fee for not providing a 2 week notice of termination

The simple answer to your question is no. Your employer is obligated to pay you the amount agreed upon for the work you have already performed. If you signed some kind of agreement that required you to give two weeks notice before quitting or be penalized, the employer may be able to argue that it was simply following the terms of your agreement. But unless there is a written agreement, your employer may not deduct anything from your wages that is not required by law. A.R.S §23-352. You can make a claim for the unpaid wages up to $2,500.00 by filing a wage claim with the labor department of the Indusatrial Commission of Arizona, (602) 542-4515. A.R.S. §23-356. Or you can make a claim for three times the amount of unpaid wages by filing a lawsuit against the employer. A.R.S. §23-355.