seva5307,
My apologies for the delay. I've been volunteering with AARP TaxAide providing remote assistance to help taxpayers prepare their own taxes and have been busy for the last several days.
While entering $0 will work, if you want to honor your parent's desire not to have them "connected" to CA, one option is to e-file only your federal return and to separately fill in a CA 540NR pdf by hand. Your CA standard deduction will be $1100 (unless you had state earned income not mentioned in your query) and simply do not check the 3800 box on line 31. (Should the FTB send you a letter, you reply that your parents are not CA residents and have no CA income so 3800 would have produced no extra tax.) Today you can mail in an extension request form FTB 3519 with a check for $30 (taxable income $4000 - $1100, single taxpayer) and complete the paper forms for mailing any time up to October 15.
