They have a three-goal advantage after comfortably defeating Kiev at Stamford Bridge last week in the first leg of their round of 16 tie.
The hosts looked to be on level terms just after the 20-minute mark, but Denys Garmash's tidy outside-of-the-boot chip past Kepa Arrizabalaga was rightly ruled out for offsides.
He is not happy at his limited playtime under Maurizio Sarri this season.
Giroud completed his ideal hat trick - goals with the left and right foot and one with his head - in the 59th minute with a towering header from a Willian free kick to make it 4-0 as the rout continued. It's really risky to play any football here in this moment and I think it's really very unsafe for injuries - but the situation is this. It's really unsafe to play any football here in this moment, and I think it's really very risky for injuries.
"The pitch is not good", Sarri, 60, said. "It's really very risky for injuries", Sarri told reporters.
'There isn't another solution, but I can not understand why Uefa are so, so [concerned] about having to present the player list at a certain minute, but then we have to play on such a bad pitch. Chelsea have invested heavily in the academy and I'm sure they are going to want to see the fruits of that.
Midfielder Willian added: 'It will be hard to play our football, but we have to do our best. "We know his quality", the Brazil winger added.
Questions have been asked about Sarri's lack of flexibility in his tactics, but Willian backed the Chelsea coach's use of Jorginho. It's a mad one because a young English player at Chelsea at that age then you really want him to sign that long-term contract. He never says something about Real Madrid.
Hudson Odoi also revealed the loudest and quietest players in the Chelsea FC dressing room.
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