You Do Need power plug adapter while traveling from Vatican City to Panama.

Here is Why You Need An Adapter

The outlet and plug type used in Panama are A and B and in Vatican City are C, F and L. This is how they look like.

Vatican City

In Vatican City, outlets of type C, F and L are in use.

Type C

Type F

Type L

Panama

In Panama, outlets of type A and B are in use.

Type A

Type B