Yes, your US citizen child can definitely sponsor you for a green card, as long as you meet the requirements for obtaining a green card

Although it is possible for your US citizen child to sponsor you for a green card, your child must be at least 21 years old to sponsor you

File Form I-130 (Petition for Alien Relative).

Wait for petition approval and follow the visa application process.

Consult with an immigration attorney for specific guidance.