Dating for this purpose would not be appropriate in India.Although India has experienced changes in its traditions in part due to Western influences, the culture has held steadfast to many of its traditions and customs.What applies to one region of India may not apply to another region.
Dating as we Westerners think of it, involves trial and error.
Our parents and our society encourage singles to go out with a number of different people.
We are encouraged to date people that are similar to us in their religion, values, and socio-economic status and also who different then ourselves.
However, in Western society, we also are free to choose our dating partners.
While arranged marriages are still common in India, love marriages have gained in popularity.
However, dating in India is for the purpose of "getting to know" your future husband.
One of the reasons the notion of dating is still foreign to the Indian people, is because it implies mental and (quite possible) physical contact with many different people of the opposite sex.
In your question "Do Indian men date single parents? Since you don't say, I am assuming by your question that you are not, but rather are interested in dating someone who is.
If is the case, then it is not just a matter of you being a single parent, but also of a different nationality, with different customs, traditions and beliefs.
The answer to your question is not a simple yes or no, but rather some Indian men will date a single parent and some won't date a woman who is a single parent.
This holds true for dating outside of the Indian culture.