The Toffees begin their campaign against Group H rivals Wolfsburg on Thursday night, and Jagielka is confident that Roberto Martinez can juggle his side's commitments to ensure the team's Premier League form does not suffer.
"We don't fear any sort of burn-out because we have full confidence in Roberto," the England international told reporters. "We put a lot of faith in the manager picking the right team, using the squad as well as he can.
"The manager knew we were in the competition before the season started and has brought enough players in, and the right type of players, to deal with it.
"If you can keep the squad to 25, and we are preparing for European football every season, it makes the manager's job easier and it proves we can deal with the extra games."
Everton have not played in the competition since the 2009-10 season.