The Romanian was delighted with his side's win over the reigning European champions and felt they could have added to their tally, while he also had a warning for other big clubs
The Ukrainian champions came away with all the spoils following their 2-1 victory over the competition holders and their coach believes they could have won by an even-greater margin.
"We could have scored four goals against Chelsea," beamed Lucescu at the post-match press conference.
"We are not afraid to play teams of Chelsea's calibre. We fully deserved the victory and the score could have been more, but [Petr] Cech had a great night.
Roberto Di Matteo, who resided over the Blues' first loss in the competition, was left impressed by the strength of the hosts.
"Shakhtar are a strong team and they showed it on the night. They scored their first goal very quickly and it was a burden on us," he admitted.
The two sides will meet again in a fortnight when the Londoners welcome the Donetsk outfit to Stamford Bridge on November 7.