Predicted Chelsea XI: Caballero; Zappacosta, Christensen, Cahill, Emerson; Fabregas, Loftus-Cheek, Kovacic; Moses, Morata, Hudson-Odoi.
Meanwhile, Mason Mount and Fikayo Tomori both started for Derby despite the fact they are now out on loan from Chelsea.
"I'm so thankful to the Chelsea fans", added Lampard, whose name was chanted by the home supporters throughout the match.
Derby are an ambitious club and can be a great platform for Lampard and co, but the onlooking Chelsea directors may dream of seeing one of the club's greatest players return to manage.
It will be the Blues' third match in the space of six days, having beaten BATE Borisov and Burnley in the Europa League and Premier League respectively.
A selection of Chelsea fans were delighted after they get to watch him up close against them and one even tipped him to replace Fabregas in the midfield.More news: Statue of Unity Interesting facts about the world s tallest statue
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The Blues have granted permission to Derby to play Mount and Tomori, both on loan from Chelsea, if they wish to during the fourth round EFL Cup tie at Stamford Bridge. It was a Lampard-esque goal and Derby's protests were dismissed by Moss.
"I didn't play in the league for the first three or four months under Antonio Conte until a game against Manchester City, which changed my way in Antonio's head".
Predicted Derby County XI: Carson; Bogle, Tomori, Keogh, Forsyth; Wilson, Huddlestone; Waghorn, Mount, Lawrence; Nugent. Two own-goals from Lamps' men handed Chelsea a rather fortunate victory, but nonetheless, we're through. His forward runs were just as risky to Chelsea as to the opponents; both visiting goals came from the space vacated on his flank.
"And then when I first came here, with Jose, the first target was to win the League Cup".
The last time these two sides met, Chelsea emerged victorious with a 3-1 win at Pride Park in the League Cup in 2014. It took just five minutes and a woefully misguided swing of Tomori's boot to hammer the message home, as well as set the tone for a wild and at times comically frantic contest.
The side sixth in the Championship were a constant threat in the second half as Marriott's drive was tipped onto the top of the net and Mount went close with a powerful long-range effort.
Interestingly, now Derby manager Lampard scored four goals that day, but will be hoping for less of the same come Wednesday - though goals are a guarantee.