The 21-year-old made his first-team debut last weekend.
The 21-year-old joined fellow youngster John Stones in central defence as the Toffees beat Bournemouth 2-1 for their first win in seven Premier League outings.
Unsworth, who managed over 300 league appearances, is now a coach at the Merseyside club, working closely with the team's stars of the future in order to maintain Everton's rich recent history of producing fine young talent.
Pennington reveals that Unsworth spoke with him directly after beating the Cherries, claiming he is "genuinely buzzing" when academy products progress through the ranks to reach a first-team footing.
“He was one of the first people I saw after the game which was really good,” said Pennington, via the Liverpool Echo.
“He is genuinely buzzing when any of us get a first team chance and hopefully I’ll be the first of many to make the step up from the Academy.”
Pennington will be hoping to follow in the footsteps of the likes of Ross Barkley, who has made the same transition from academy star to first-team regular and looks like one of England's hottest prospects.