You can play tennis in any kind of trainer but if you want the best out of your feet, it is best to get shoes specially made for tennis.
They have a few special features.
Look for a shoe with a herring-bone style tread. This pattern wears slower and offers more traction than multi-purpose shoes.
Reinforced toe-caps will make the shoe last longer especially if you drag your toe on the serve follow-through.
Unlike running shoes, proper tennis shoes allow for side-to-side sliding. Added side-support is crucial to keep your foot stable even when playing shots on the run.
Some players like to have extra ankle support, so mid-cut shoes are a good option. Breathable mesh insets in the leather will also make the shoes less sweaty.
Women tend to have higher arches in their feet than men so female players should look for extra support underneath the arch.
Choose cushioned socks that give extra protection to the bits of your feet that take all the impact - the ball and the heel.
This spongy cushioning also absorbs sweat, taking it away from your skin making blisters and conditions such as athlete's foot less likely.