Yes you will have major problems. The following is a list of issues you need to be aware of:
1. Foreigners can buy real estate in the U.S. but it requires a large down payment - about 30%.
2. Foreigners will need to pay a FIRPTA tax when they sell any property in the U.S. You need to Google "FIRPTA" to find out the requirements.
3. Homes that resell soon after the buyer bought it does not always sell for more money. It can sell for less money and you (the buyer) can suffer a loss.
4. How knowledgeable are you with the neighborhood that you are buying in? If you need to rely on a realtor for everything, then you will be paying more for a home than it is worth. Realtors can take advantage of foreigners because all a realtor is interested in is earning a commission for selling a home. They don't care whether you pay too much or not.
5. Americans know more about the neighborhoods than you will and know what the true value of homes are in their neighborhoods. You will be at a disadvantage.
6. There are some things realtors can't give opinions on because of Fair Housing laws. How knowledgeable are you with obtaining your own information?
7. There are many types of homes in the U.S. You need to know the different types and what you can afford.