Last updated on .From the section Everton
Frank was offered a managerial position byEverton.
After 18 months in charge of the Blues, Lampard was sacked in January of last year, leaving him without a job for a year.
The club decided to go with Lampard after the second interviews for the job on Friday.
One of his last 13 games was the reason for his dismissal.
A side lacking in confidence is 16th in the league, six points above the drop zone, despite the fact that the former manager lasted less than seven months.
After holding positive talks with the club officials, it was thought that he would be offered the job.
There was graffiti on Goodison Park that opposed the move and read "Pereira out".
Around 100 fans held a protest at Goodison on Wednesday at the way the club is being run.
Wayne Rooney turned down the chance to talk withEverton as he wants to stay at Derby.
The Canaries appointed Dean Smith as their new boss after talks with ex-Rams boss Lampard, who dropped out of the running.
He could be in charge of the Toffees by the time they play in the FA Cup.
During his 13 seasons as a player at the club, he won 11 major trophies and made 648 appearances.
He guided the Blues to fourth place and the FA Cup final in his first season in charge, but a run of five defeats in eight games cost him his job.
The lowest points-per-game average of any permanent manager in the league is that of Lampard.
In all competitions, only Villas-Boas has a worse win rate than Lampard.