A sketch must be created on a plane, which can be either a construction plane, a planar face. or a profile in another sketch. In a parametric design, the sketch maintains this relationship to the selected planar entity and recomputes if the plane changes. Because of this associative relationship, you can't directly reposition or reorient the sketch.
However, in a non-parametric design, there are no parametric relationships and you can reorient a sketch in any way you would like. You can take advantage of this capability in a parametric model by using a base feature. When you create a base feature in a parametric model, the geometry created within the base feature is not parametric. In this case, you can create a base feature, create a sketch in the base feature and reorient it how you would like, then exit the base feature and use the sketch for parametric operations. Another option is to create a construction plane in the base feature. Because it's not parametric, you can reposition the construction plane in any way you would like. After exiting the base feature, you can create a sketch on the construction plane. You can now manipulate the sketch position by editing the position of the construction plane.
Since I don't know what it is you're trying to accomplish, these are just some ideas for you to play with.
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Brian EkinsInventor and Fusion 360 API Expert
Website/Blog:
https://EkinsSolutions.com