SAFA has called on law enforcement agencies in the country to act against any person found playing social football during level 3 of the lockdown.
Football activities from amateur to professional leagues in the country have been suspended since March after the outbreak of coronavirus this year.
However, PSL competitions are the only football activities allowed to return to action in the first week of August.
SAFA head of communications Dominic Chimhavi has confirmed the Association has been receiving many reports about football still being played at amateur level.
The police have been urged to arrest people found participating in these activities while they remain restricted.
"Apart from the professional wing which is the PSL and GladAfrica Championship leagues, all other football activities are suspended," Chimhavi tells KickOff.com.
"According to the laws of the country and presidency's lockdown requirement, any other football activities are suspended until the situation is conducive.
"The only games that have been compromised for are PSL and GladAfrica Championship.
"The rest of the football activities, I wish to appeal through your publication to say we have been receiving reports that in certain regions people have started to engage in social football.
"We want to appeal to the police that come across people playing football, that they must be arrested."