The Celtic manager spent three and a half years at Everton's rivals Liverpool.
Sky Sports reported on Monday that Everton have resumed talks with Sam Allardyce, and the former England boss is now odds-on favourite to succeed Ronald Koeman more than a month after the Dutchman's sacking.
Everton are said to have considered a number of candidates, including Premier League managers Marco Silva and Sean Dyche, but their search has continued to prove fruitless.
And speaking to 5 live's Football Daily on Monday, former Celtic striker Wright said when discussing Everton's situation: "What about Brendan Rodgers? I’m surprised that Brendan Rodgers’ name has not been thrown in there as well."
Rodgers previously spent three and a half years in charge of Everton's rivals Liverpool, but has led Celtic to four trophies in 18 months since moving to Parkhead.
The Bhoys are also 65 domestic games unbeaten - all but one of which was overseen by Rodgers - and could progress to the Europa League's latter stages for only the second time in five seasons.
Should Everton have considered the Celtic manager as Koeman's replacement?