The rivals want to attract investors to transform areas around Anfield and Goodison Park.
That caused so much annoyance at Goodison Park, particularly from Toffees boss David Moyes.
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Lescott played for Everton on Saturday as they were thrashed 6-1 by Arsenal at Goodison Park.
Everton will play Reading in the last 16 at Goodison Park on Tuesday, 1 March.
Toffees goalkeeper Tim Howard said Goodison Park was no place for players with attitude.
And contrary to Wyness' view, chairman Bill Kenwright is convinced the club cannot stay at Goodison Park.
The stunt took place at Everton v Manchester City's match at Goodison Park in Liverpool on 16 March.
Carsley spent six years at Goodison Park, helping them to finish fifth in the Premier League this season.
Everton's kept their slim hopes of Champions League football alive with a 1-0 over Fulham at Goodison Park.
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Everton cruised to a 4-0 win over Fulham at Goodison Park to consolidate seventh place in the table.
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Last weekend Chelsea had beaten Everton 3-2 at Goodison Park, with their winner coming in the 87th minute.
"I do not want to be the guy who moves Everton away from Goodison Park, " he told the AGM.
United's title party will get underway after the match at Goodison Park after a ruling by Premier League bosses.
Lescott, 27, missed City's defeat at Goodison Park because of a knee injury.
The latter match at Goodison Park saw the Toffees hit back to draw 3-3 with two goals in injury time.
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Everton are now two points behind the Gunners after a comfortable 3-1 win over 19th place Reading at Goodison Park.
However, United boss Ferguson decided against taking him to Goodison Park, where the Croxteth-born forward shot to prominence as a 16-year-old.
And the 61-year-old former German international also backed Senderos despite his lack of first-team football at the Emirates and Goodison Park.
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Liverpool, who are still chasing a Champions League spot, face Burnley at Turf Moor while Fulham take on Everton at Goodison Park.
Liverpool have played at Anfield since their formation in 1892, when arch-rivals Everton left the ground to play at nearby Goodison Park.
The club settled at Goodison Park after a nomadic 14 years in which they played at Stanley Park, Priory Road and Anfield Road.
Petr, unfortunate not to receive a penalty when the sides met at Goodison Park, collected possession deep inside opposition territory and surged towards goal.
But it will be the visitors who leave Goodison Park the happier, despite some impressive play from both sides in a keenly fought encounter.
The Tigers have not won at Goodison Park since the days of rationing in 1952, although some early promise hinted that record could finally change.
Coleman, 21, signed a new four-year deal at Goodison Park earlier this week and will return after the Championship play-off final at Wembley on Saturday.
Mills scored the only goal of the game at Goodison Park to book the Royals a quarter-final trip to either Manchester City or Aston Villa.
The way in which he has settled into life at Goodison Park has not gone unnoticed by his team-mates either, including his compatriot Tim Howard.
Defender Joleon Lescott is the latest to be linked with a big-money move away from Goodison Park, with Manchester City rumoured to be preparing a bid.
Manchester City striker Jo has been linked with another season-long loan move to Goodison Park, following a successful stint at the club between January and May.
And with Goodison Park rocking, the home side completed their recovery with a second seven minutes later - a goal of bravery and quality from Osman.
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