Alfred (Al) Avison (1920-1984) is the artist attributed. Avison was a comic art journeyman, beginning in the very early days of comic books, and working for many years. He had an ability to mimic other cartoonists' styles, especially Chester Gould and Ham Fisher. Avison did most, if not all, of the covers for the Dick Tracy and Joe Palooka reprints Harvey Comics issued over the years. Pocket Comics only lasted four issues. It’s my belief that comics in a smaller format would be easier to overlook on a magazine stand, but also easier for kids to shoplift. They didn't call 'em "pocket comics" for nothing.
Cover for issue #1, drawn by Joe Simon:.