I got the puzzle from here. Here is a picture of it:
How is it possible to solve it?
UPDATE: Thanks @JaapScherphuis - this is the solution:
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I cannot be certain without physically attempting.
However, I can posit a solution...
Loop it through the spiral until it gets to the center. Then follow the opposite path out.
Since the wire is now on the "outside" of the spiral then it will be removed.
The trick with these such puzzles is to take the thin "U" shape in the centre of the removeable piece, and thread it through the small "o" joining the enclosing piece, before looping it around the maze to the other side of the "o" where it can be removed. The below puzzle is a slightly different shape, but it is essentially the same solution: