David Moyes backed Paul Hart to steer Portsmouth out of trouble after Everton condemned the Barclays Premier League's bottom club to a seventh successive defeat.
French striker Louis Saha struck in the 42nd minute to stretch Everton's winning run to four matches as Pompey missed a host of chances and remain anchored to the foot of the table.
But Moyes has backed Pompey to turn their season around and said: "Paul is doing a great job. His squad was only put together at the last minute and he had a lot of things taken away from him."
He added: "You could see the attitude of his players - they gave him everything right until the last minute. It's also good to see how the supporters backed their team.
"Portsmouth are only seven games into the season and football changes around very quickly."
Pompey created enough chances to win the match several times over with Aaron Mokoena hitting the crossbar, Tal Ben Haim failing from point-blank range and Hassan Yebda seeing his effort cleared off the line.
Hart believes it is only a matter of time until they start climbing the table.
"We played tremendously well, creating really good chances in the first half and in the second we should have scored," said Hart. "But with a spirit and performance like that, I thought the players were fantastic.
"We can't keep shooting ourselves in the foot but if we retain that spirit and continue to work like that we'll turn it around.
"The players have been excellent and I don't see any reason why they won't keep that going."
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