The 16-year-old girl had been out shopping with her 12-year-old sibling and parents when she was attacked.
Shomrim asked for anyone who recognizes the offender to contact Hackney Police.
Footage from the incident shows the 45-year-old man from Abu Tor arriving at his son's kindergarten, noticing his wife, and attempting to run her over.
The Turkish Football Federation (TFF) said it had suspended all leagues after the "shameful" incident when Koca punched referee Halil Umut Meler
Two women were filmed continuing to kick the victim as she lay on the ground unconscious.
The student also stole and spat on the victim's Israeli flag, according to the university's Hillel.
The suspect was released on the spot and is being investigated on suspicion of conducting an assault with an antisemitic motive.
The teacher, Rowan Abdel-Hai, worked for several years at HaGan Shel Sigal Preschool in Hod Hasharon.
Footage circulating in the last few hours on social media appears to show a man instigating the altercation with the Israeli woman.
"People ram-raided my home before starting a fire to torch my house, where my wife and my two young children were sleeping," Mayor Vincent Jeanbrun said.