Drain cherries thoroughly; dry completely on paper towels at least 30 minutes so chocolate adheres.
Beat butter and corn syrup in a medium bowl until smooth; gradually mix in powdered sugar, almond extract, and salt to form stiff dough.
Flatten about 1 teaspoon fondant in palm; wrap around a cherry, leaving stem exposed. Roll gently smooth; place on a parchment-lined sheet.
Repeat with remaining cherries; refrigerate at least 1 hour until firm.
Microwave chocolate and shortening in a microwave-safe bowl at 30-second intervals, stirring between each, until completely smooth.
Hold cherries by stems; swirl in chocolate to coat completely, let excess drip, and place on parchment.
Refrigerate at least 1 hour to set; store airtight in refrigerator up to 2 weeks. Fondant softens and becomes creamy after a few days.