Yes, if you have a mortgage on the property your lender will need to consent to any other parties becoming legal owners. They will require the incoming party to become a party to the mortgage as well.
Non-Family Members – In some cases, individuals with a close personal relationship may also be able to gift equity. This can include close friends or individuals with a significant personal connection.
A “gift of equity” refers to a gift provided by the seller of a property to the buyer. The gift represents a portion of the seller's equity in the property, and is transferred to the buyer as a credit in the transaction.
The seller must obtain an official home appraisal to ascertain fair market value and also sign a gift letter that describes the buyer-seller relationship and states that the equity is a gift the buyer is not obligated to repay. The buyer must follow the typical process for buying a home.