I remember some pilots wore the wings of "another service" on the opposite side (above the pocket) of their "A-1" uniforms for special or formal occasions. Same applies to medals and ribbons you received from "another service".
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In the Belgian Air Force (which had RAF uniform traditions), the Belgian wings would be worn above the L pocket, and the RAF or USAF wings on the R side, if you were trained or served with them. The French do wear their wings on the R side of their uniform.
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Ask your Wing Commander...!
Happy contrails