Hi
Article 13 of the tax treaty (
Uk/USA Double Taxation Agreement - 2002) gives the country in which the property is located the first rights to tax any gains.
As you property is in the UK and is covered by private residence relief, as your main residence for the period of ownership, no UK tax is payable.
The UK/USA treaty also give the USA the right to tax any residential property gains as well, using their process for calculating the gain.
As no capital gains tax is payable in the UK, there is no foreign tax credit to set against any gain arising in the USA.
If you rent out your UK property, then private residence relief would not cover this period and a capital gain may arise on the disposal.
We cannot comment on that capital gains tax regulations applied in the USA.
Thank you