Before buying shoe for training, check it sole first.
Expensive price and famous brands are not guarantee that shoe will be useable for martial art training well. You must check the sole carefully.
Light and flat soled shoe is the proper design for fighting sport training. Doing a quick footwork, high kicking and balancing the body will be easier with light and flat soled shoe.
Alternative footwear for martial art training is strap sandal (sandal with strap) used by ancient warriors. This sandal model is still used by Silat, Kenpo and Karate communities today.
Strap sandal will not fly away when you doing kick, you can do any kicks you like. Honestly, training with strap sandal is more comfortable for me, it's much cooler than shoe because you don't need to wear sock (especially during hot weather, very helpful).
“What should i do if i was attacked on the street while wearing unproper footwear?”
Just do what japanese Samurai did, if they attacked by assassins on street while wearing wooden sandal (Geta), they throw away their sandal and fight barefooted like in Karate - Kenpo training.
If you’re unable to throw your sandal, then just use your punches, elbow strikes and pressure point strikes. Just like ancient middle eastern - african boxers did many centuries ago when they fight against bandits while wearing sandal and long dress (that is another reason why ancient Boxing only train hand techniques, because at that time there is no proper clothing and footwear which allow the fighters using high kicks).
