In their own Circle.
Such that the arrows point to successive numbers . Start with 1 and end with 9. There might be more arrows than necessary.
Find the solution with least number of arrows ignored.
7 8 9
6 4 1
5 2 3
Note top right must be 9 and the left side must be sequential going upwards. From there, I did some guess-and-check, but it's entirely possible to reason that the center must come before the left column, and the bottom right before the center, and the bottom center before the bottom right, and the right center before the bottom center, and the right center must be the first which solves 1-7 and 9 which gives you the top center as 8.