The "right of publicity" or "personality rights" is what's relevant. How you might pursue this depends on where you live. In Washington, RCW 63.30 forbids such action – see RCW 63.60.050
Any person who uses or authorizes the use of a living or deceased
individual's or personality's name, voice, signature, photograph, or
likeness, on or in goods, merchandise, or products entered into
commerce in this state, or for purposes of advertising products,
merchandise, goods, or services, or for purposes of fund-raising or
solicitation of donations, or if any person disseminates or publishes
such advertisements in this state, without written or oral, express or
implied consent of the owner of the right, has infringed such right.
An infringement may occur under this section without regard to whether
the use or activity is for profit or not for profit.
Apart from injunctions against continuing the infringement and destruction of infringing material, the infringer is liable $1,500 or actual damages, whichever is greater, plus attorney and court costs. Even without such a statutes, the Restatement (Third) of Unfair Competition states
One who appropriates the commercial value of a person’s identity by
using without consent the person’s name, likeness, or other indicia of
identity for purposes of trade is subject to liability for the relief
appropriate under the rules stated in § § 48 and 49.
