Even at his age, a player like Perry would give the Oilers a huge boost in terms of experience, leadership and snarl on the ice. His aggressive style and being a constant agitator against the opposition has been lacking with the Oilers for many years.
Even in his advanced stages in his career, he would give the Oilers help in the power play as he could still put the puck in the net and he can even do some penalty killing as he's in a bottom 6 role.
The Oilers could give him a chance to take another run at a Stanley Cup as the team has been enjoying a 12 game-winning streak and showing their fan base that they have turned things around. The Oilers would not need to give up any players or prospects along with draft picks to acquire him and a simple juggling of the budget would all that would be needed.