There are definitely certain foods which diabetics will want to get lots of in their diet, including lobster along with other types of shellfish. You will find that staying away from foods that are high in sugar and saturated fat is extremely important for diabetics and lobster does not contain a significant amount of either of those things. Lobster also has omega-3 fats in it which is extremely good for the brain and body.
Certain studies have shown that those who eat a significant amount of lobster on a regular basis can actually avoid developing problems with high HDL which is the bad type of cholesterol that you do not want to have issues with. It is however important for diabetics to avoid eating butter which is typically served with lobster.