It depends on what band or bands the TV antenna is setup for, yes an FM radio will work on a TV antenna, but some TV antennas are for the UHF band and may not work too good for the FM band, TV antennas are also directional, so may not pick up the FM stations if they are in different directions then the local TV stations.
FM band is from about 87 MHz to 108 MHz, UHF TV is from 416 MHz to 700 MHz (there or about, this depends on where and what country you live in) so you can see why a UHF TV antenna may not work so good for the FM radio.
If you still watch the TV with off air signals, then you should use a TV/FM signal splitter, (if the TV antenna can handle the FM signals) this will help you out with the correct signals to each
If you have a VHF and UHF TV antenna then it should work for FM, and what type of connector are you looking for, a photo of the jack on the radio would be nice.