Logan Morris, the boy's father, told FOX 5 News he was in shock and that it wasn't as if his child was even acting up or being insistent.
After being medically cleared at Piedmont Hospital, Martinez was transported to the Coweta County Jail where he was charged with cruelty to children, obstruction of officers, battery and disorderly conduct.
According to 11 Alive, the two-year-old boy was asking his father for a lolly.
Morris said no twice and then, he says, a stranger grabbed the boy and spanked him three times.
"That's my son, and at the end of the day, I'll discipline him how I believe he needs to be disciplined", Morris said.
"He told my son, 'This is what we do to kids in Mexico, '" Morris recalled.
Morris, a plumber, was calm and took his son back, saying: 'Buddy, we are not in Mexico'.
"I didn't know what to think".
When police arrived to speak with Martinez, they noted he was slurring his speech and smelled of alcohol.
A spokesperson for the Newnan Police Department said that U.S. Immigration and Customs Enforcement was not involved in the case yet, but it would be reviewed. Once officers were able to get him inside of a patrol auto, he proceeded to kick the doors and windows. The report stated that Martinez's eyes were bloodshot and that he had a "strong odour of an alcoholic beverage coming from his person". "That's my heart", Michelle Lott, the child's grandmother, said.
"I didn't want to start something and it go out of hand and him get hurt in the process".