Thus the interest rates and terms will not be as razor sharp as you would get for a primary residence. But in the bigger picture interest rates are so low that you should still be able to get a decent rate. Other than that all the usual qualifiers i.e. employment, income, credit down payment, etc. will have to be evaluated.
I am not familiar with the California laws so my suggestion is to speak with an escrow attorney. As well get in contact with a loan officer/lender/mortgage broker to see what you would be qualified to purchase and confirm you can cover the current mortgage on the home. If the current mortgage on the home is more than the market value then the situation will be even more complicated.
You should probably contact the current mortgage holder and inform them of the death of your parents. They might need to see a death certificate so have it handy.