I recently found out that I have parasites by accident when my doctor gave me Albenza as a protocol for Chronic Fatigue. Since taking the Albenza, they have been trying to exit like crazy from every orifice. I can say that for a week now my throat feels full and I'm having difficulty swallowing and I know it's because of the parasites. They say that parasites migrate from the intestines to the lungs and then get coughed back up into the intestines all over again. When this happens, they can get into the throat and burrow in the many crevices of the sinuses which is what has happened to me. So yes, I believe that your difficulty swallowing can definitely be parasite related. My husband has been taking Humaworm and his life-long sinus problems have been getting better.
Try doing coconut oil pulling. Swish coconut oil around in your mouth 2-3 times a day for 15 minutes and spit it out (don't swallow because it's full of germs). Brush your teeth afterward. Try to gargle with it if you can. I have gotten many eggs and larvae out of my throat this way. It's also good for your teeth.