The radio is secured through two front panel nuts, and a side support bracket. It is shown to the left fully assembled.
A bracket on the side takes the brunt of the weight of the radio through two nuts (only one can be seen here).
Taking the nuts off allow the front panel to be removed.
1954 Chevy radio
1954 Chevy radio
1954 Chevy radio
Chevy radio bracket
Pulling the knobs off reveal the front mounting nuts.