Two goals from on-loan Chelsea striker Daniel Sturridge and one from Lee Chung-yong handed Wanderers an emphatic victory at the Reebok Stadium.
It was just the boost they were looking for ahead of the Wembley showdown a week on Sunday.
"We wanted to put pressure on Liverpool and Everton and the performance was outstanding," said Coyle. "When you get the three points on the back of a performance like that it is very pleasing for everyone.
"We have been outstanding at home, very positive, and this result means we go into a massive game next week in good spirits."
On Sturridge, who will be cup-tied against Stoke, Coyle added: "I always believed Daniel could play in the Premier League and he is enjoying being at the club."
Source: PA
Source: PA