You're misdiagnosing the problem. The first argument you're passing to MAKE-ARRAY is a list of two symbols, *NUMROWS* and *NUMCOLS*. However, the first argument to MAKE-ARRAY should be a list of non-negative integers. The easiest way to fix your example is to make a list with the values instead: (list *numrows* *numcols*). So the code would look like this instead:
(setq *numrows* (read map))
(setq *numcols* (read map))
(setq *map* (make-array (list *numrows* *numcols*) :initial-element nil))
You normally wouldn't use setq like this, though. It'd probably be better, depending on the context, to bind those variables with LET*:
(let* ((numrows (read map))
(numcols (read map))
(map-array (make-array (list numrows numcols) :initial-element nil))
; do something with map-array
)