Hello! you have many options, here are a few of them:
Futbol & Paddle
4270 Güemes, Palermo
https://maps.app.goo.gl/uV25pF6ZoS4d1VYg7
Araoz Padel
2456 Áraoz, Palermo
https://maps.app.goo.gl/KbuhohdwRfLDf12z8
I think this is the best of the three
Central Paddle Gym
3137 Valentín Gómez...