Does a pair of Nike Frees have the design and technology for a game of squash?
The simple answer is, no, they are far from ideal for playing squash. A more complete answer would begin by giving a bit of background on the Nike Free. The various versions of Nike Free (3.0, 4.5, 5.0, 7.0) were designed to simulate running on grass in bare feet. These are an extremely minimal build with very little support or cushioning and the uppers provide no ankle support whatsoever. The Nike Free line is a terrific supplemental training tool for people who do a lot of running and are seeking a different form of training. However, they are not performance shoes by any means and, particularly given the particular physical characteristics you described, I would encourage you to seek out a shoe with more arch and ankle support. If this was helpful, I’d appreciate it if you marked this answer as a good one. Thanks!