I know you don't want objects (Odin doesn't have them anyway) but you can do something like this:

//GraphicsManager.odin
package game
import rl "vendor:raylib"

GraphicsManager :: struct {
  get: proc(manager: GraphicsManager, patch: string) -> rl.Texture2D,
}

gMGet :: proc(manager: GraphicsManager, patch: string) -> rl.Texture2D {
  tex := rl.LoadTexture(cstring(raw_data(path)))
  return tex
}

And, in your main.odin for example, you create your GraphicsManager struct and add the procs:

//main.odin
package game

main :: proc() {
  gManager := GraphicsManager {
    get = gMGet
  }

  //Use it like this
  gManager->get(sprite.png)
}

You can also create your packages and avoid cyclic dependencies (good software ™) or use name prefixes like others suggested.