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只要持有永居或英国国籍（或其余特殊状况）的部份直系亲属才能够请求Family Visitor。
To come to the UK as a family visitor, you must be able to show that you will be visiting the following family members in the UK:
spouse, civil partner, father, mother, son, daughter, brother or sister;
grandfather, grandmother, grandson or granddaughter;
spouse or civil partner’s father, mother, brother or sister;
son or daughter’s spouse or civil partner;
stepfather, stepmother, stepson, stepdaughter, stepbrother or stepsister; or
a person you have been living with in a genuine and subsisting relationship, like marriage or civil partnership, for at least 2 years before the day you apply.
Additionally the family member you are visiting must :
be a British citizen;
be settled in the UK;
have been granted asylum in the UK; or
have Humanitarian Protection status.
http://www.ukba.homeoffice.gov.uk/visas-i妹妹igration/visiting/family/requirements/
所以，你父母只能够请求General Visitor。