You must be eligible for Head of Household before it will be offered as a Filing Status.
When completing the My Info section of the program you must enter a qualifying person as a dependent before you are asked any question to confirm that you are eligible for that status.
See this TurboTax support FAQ for Head of Household - https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-filing-status/qualify-head-household...
And this support FAQ if you are married for Head of Household - https://ttlc.intuit.com/turbotax-support/en-us/help-article/taxation/married-person-claim-head-house...
This answer has been verified for accuracy by an Intuit expert employee
