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I'm no tax attorney so this is just my opinion based on some basic research and your post information.

According to your post, your father was not a US citizen nor US resident and his estate is not subject to US federal or state estate tax. Assuming you are correct, then selling the stock and realizing a capital gain only increases the value of the estate, not you, and will be subject to French estate laws.

Once the estate tax is settled, the assets will be dispersed to the beneficiaries, you for example. There is no federal inheritance tax (only six states have a state inheritance tax) so, since you live in Texas, you would not be taxed on the assets you receive from your father's estate.

Again, my opinion based on your information and a general understanding of the situation. Best to check with a professional.