The 33-year-old full-back - who joined Everton's youth setup in 1991 - has penned a new two-year deal.
Hibbert has made over 300 appearances for the club but made just four in all competitions last term.
McAleny joined Everton's academy at the age of 11, but has made just two first-team appearances.
"I want to get as close as I can to the first team, make some appearances and hopefully chip in with a few goals if possible," he told the club's official website.
"He [manager Roberto Martinez] called me up a few weeks ago and we had a good chat.
"That was massive for me. He told me I was going to be in his plans and that was a big part of why I have signed."
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