I will describe what I have, A piece of say 5/16 square brass, turned round to fit thru your linkage arm. The round part is long enough to fit thru arm, then a washer, and hole for small cotter pin. The square part is approx 5/16 long, drilled in from the side about 1/32 bigger than your cable size. Then a hole drilled in from the end on center , and tapped ..a screw in there binds against your cable..holds it all together.
Measurements are approx, the square stock , could be round. Tinning your cable after you cut stock end off would help..
The stock adjusters are on both ends of my cable, lower end need to fit in a bracket or the manifold, then the cable end slips thru the hole, in the fitting I drew, and gets clamped with the screw.