I hate to say it but if you have parasites in your throat then the likelihood is that you will also have them in your lungs too. Try using Hydrogen Peroxide Inhalation Therapy or Lugols Iodine Inhalation Therapy to kill them.
For Hydrogen Peroxide Inhalation: Dilute 3% HP down to a 1% HP solution. Use that in a nebulizer or atomizer spray and inhale it several times a day. I've used 1% HP as an inhalant for 5 to 10 minutes or more using a nebulizer. This will kill everything bad in your mouth, throat, nose, lungs and nasopharynx cavity(behind your nose). Some people have no problems inhaling 3% HP.
For the Iodine Inhalation. Start off by using only 1 drop 5% lugols iodine in an ounce of water and, using a nebulizer, inhale that for 5 minutes. If you can, try to increase iodine drop dosage up to 2 or 3 drops only. I've used this inhalation method and it is effective. You can also use nascent iodine -- up to ten drops -- for inhalation.