In the case of an avocado intolerance, a person will be unable to properly digest, absorb or process avocado. Digestive avocado intolerance symptoms include bloating, excessive gas, stomach pain, cramping, stomach aches, diarrhea and a number of other symptoms.vocado Intolerance. Avocado Intolerance Information. An avocado intolerance will cause a person to experience negative symptoms after eating avocados or foods that contain avocado. An avocado intolerance is different from an avocado allergy.