There are several differences between extroverted and introverted leadership. Most notably, how they communicate. Extrovert leaders will communicate verbally more often. They hold meetings, talk on the phone, and have “emergency” brainstorming sessions.
Introvert leaders communicate non-verbally more often. They will send out mass emails, text people, and only hold meetings when absolutely necessary.
They can both learn from each other, because half the people in the world are introverts (according to Meyers-Briggs), so half of their employees are probably introverts while the other half are extroverts.
A good introvert leader will have a right-hand person who is an extrovert, and the same with an extrovert leader.