It has been a whirlwind 24 hours for all concerned at Goodison Park, with it announced on Thursday that Moyes is to succeed retiring Manchester United boss Sir Alex Ferguson.
He has agreed a six-year contract with the Red Devils and will officially take their reins on 1st July.
Moyes will see out the 2012/13 campaign with Everton, with there still two games to come, and it is important for them to end the season as positively as possible.
The challenge facing the Toffees then will be to find a suitable replacement for Moyes and to continue to build on the positive foundations he has put in place over the last 11 years.
Jagielka is convinced they can do just that, telling Everton's official website: "Like the rest of the squad I have nothing but the highest regard for David Moyes.
"He is a first class operator on and off the training ground and on behalf of the players I would like to place on record my thanks for the work he has done improving the team.
"It was as much of a shock to the dressing room as I'm sure it was to Everton and our fans.
"All the lads wish him the very best for the future but we still have two important Premier League games to play and all our attentions will be focused on winning against West Ham and at Chelsea.
"Once the season is over we can collectively look forward in order to ensure we continue to build on the positive work of the past few seasons."