In order for an orbit to be sustained it has to keep going around the planet, but if you put the orbit so low it slows down due to atmospheric drag, whether here on Earth or on Jupiter, the orbit will rapidly decay and the orbiting object will fall.
If you want to put something in orbit around Jupiter (or Earth) you’ve got to be basically above the atmosphere.
I say “basically” because in low Earth orbit there is still some atmosphere, though very, very thin. This does create drag and objects in low Earth orbit have a tendency to de-orbit and burn up. Same principles on Jupiter. Altitude is the key. The higher the better.
Furthermore, Jupiter has a huge problem – radiation. It’s ripping apart our Juno spacecraft and it will rip apart anything that gets too close to Jupiter.