As discussed here, most people who have been present in India (or various other countries) within the last 14 days will not be allowed to enter the US.
However, a CBP article mentions "an advance parole document" on a list of documents that can be presented to establish that a traveller is exempt from the travel restriction from India. The confusing thing is that the Presidential Proclamation itself doesn't mention any exemption for AP holders.
One might think that the person who wrote the CBP article simply made a mistake. However, I've seen several reports of people managing to enter the US from India using an AP document, and who do not have any US citizen relatives or any other obvious grounds for an exemption.
It seems just barely possible that CBP has issued a blanket national interest exemption for AP holders entering the US from India, but I haven't been able to find any more details in official sources.