Olympiakos coach Dusan Bajevic said it was mission accomplished.
"We got what we wanted from the match and that is the three points," said Bajevic, who has guided his side to a similar victory over Liverpool.
"This gives us the momentum we want ahead of the Deportivo La Coruna match as I don't want to go to Liverpool in the final match needing to qualify," he added.
Didier Deschamps believed his side should have got a point but acknowledged that the group was now on a knife's edge and his side's home match against Liverpool in three weeks time takes on added significance.
Liverpool manager, Rafael Benitez, said it was imperative that his team did not take their eye off the ball for the trip to the principality.
"Now it is a question of keeping focused and looking ahead to the next game," said the Spaniard.
How he must envy Le Guen and Capello, who can now concentrate on their domestic leagues with contented smiles rather than bite their fingernails for the next month.
Olympiakos vs Monaco
A late goal by Argentinian Gabriel Schurrer dealt a severe blow to Monaco's hopes of returning to the Champions League final on Wednesday as Olympiakos defeated the French side 1-0 in their Group A clash in Athens.
The 33-year-old's goal six minutes from time ensured the Greek giants went top of the group alongside Liverpool, who won 1-0 away at Deportivo La Coruna, with Monaco slipping from first to third, a point adrift of the top two with two matches remaining.
Olympiakos coach Dusan Bajevic said it was mission achieved.
"We got what we wanted from the match and that is the three points," said Bajevic, who has guided his side to a similar victory over Liverpool.
"This gives us the momentum we want ahead of the Deportivo La Coruna match as I don't want to go to Liverpool in the final match needing to qualify," he added.
His Monaco counterpart Didier Deschamps said Olympiakos deserved to be in contention for a knockout phase place but believed his side deserved a point.



