My smallest routers all have a button that I press that engages a flat spot on the shaft internal to the router to allow you to put a regular wrench on the collet nut. However I agree with others, that it looks like the lever that your fingers are on is supposed to engage with the nut.
When I get older tools, one of the first things I usually do is find the model number and download the manual for it online. Not only will it give you a part number for any missing wrenches or accessories so they can be ordered, but it will clarify how to do things like changing bits. Although I don't think this applies to your case, I have made my own thin wrenches out of scrap pieces of metal and a hacksaw.