Welcome to HealthcareMagic forum.
Squeezing the throat hard can cause significant injuries. The extent of injury
depend on the amount of pressure exerted - can be external over the skin and muscles or deep involving throat and oesphagus.
The injuries could take time to heal and the recovery period is proportional to the amount of damage sustained. It would go away on its own; however antiinflammatory drugs can fasten the recovery.
You may consider visiting a physician nearby for clinical examination; he/she can prescribe you the medications that can fasten the recovery.
Hope this answers your query.