The American international has had two previous spells at Goodison Park scoring two goals in 13 games at the tail end of the 2009/10 season before returning to make nine appearances in the previous campaign.
It’s been reported that the 30-year-old could return to Merseyside again and Neville is trying to persuade him to join on a permanent basis.
“If there is a chance, I make sure that I try (to tempt him to Everton) every time I speak to him,” he said.
“That’s the first thing I say to him. Toward the end of his spell back in January I even tried to kidnap him for a while and keep him in England!
“I’m telling the truth here when I say the last two times he’s been over he’s totally transformed our season.
“He’s the ultimate professional, he’s got great quality, and the Everton fans love him.
“He’s a hero at Goodison Park, and he’s played less than 20 games for us. I’ve played with some world-class right-sided players in my time, and he’s up there with them.”
Donavan admitted back in May that he missed Everton and was open to return in the future should LA Galaxy allow him to leave.
“I would absolutely like to come back. There’s no question about that,” he told Fifa’s website.
“And I know I will be back at some point. Now, whether I’m back as a player or just as a fan, who knows?
“I miss the people. I miss the people a lot. I miss driving to Goodison Park. I miss just the positive energy of the fans walking into the stadium and how much they care about that club and the team.
“And I miss the players a lot. The players are really what made it easiest for me when I first went.”