US has federal estate tax, not inheritance tax. Estate 遗产 is the dead person's property before inheritance. Inheritance (继承所得) is your share of the estate. So if the your parents lived in US, their estate (dead person's property) would be subject to US estate tax. But the first 11 million dollar (per person) from their estate are exempt.
However, since your parents are in China not a US tax resident, their property is not subject to US estate tax.
A few US states collect estate and/or inheritance tax. see this chart. https://taxfoundation.org/state-estate-tax-inheritance-tax-2018/ Like above analysis, your parents' estate is not subject to any estate tax from any US states. However you might be subject to state inheritance tax if you live in one of those states. You should look up the inheritance exempt threshold if you live in one of those states.
Capital Gain Tax. The only tax you are subject to is capital gain tax from the capital gain accumulated from the time you inherited the property (your name appears on the title) and the time you sold it. If this time is less than one year, you don't have to worry about the capital gain.
However if you sold the house a few years after you inherited it, you might be subject to some capital gain tax.