E.g; During a sprint, when the right foot is in contact with the ground, should the left hip be swinging;
A) higher than right hip.
B) Leval with right hip.
C) Lower than right hip.
(of-course visa-versa for when left foot is on ground.)
I have not thought about this much before but really came to my attention during a drill I was doing yesterday.
Please answer. 
The question is leaving out an important detail, is the foot infront, underneath or behind the body? When you asked about “in contact” did you mean at the point it makes initial contact? This needs to be clarified before anything can be discussed.
All three of those stages or to put another way;
As the foot is travelling backwards from front to behind the body,
does the opposite hip move higher or stay on same level?
The hip of the support leg is the one that remains higher during the point of midstance, when the advancing leg passes at this point it is at its lowest point. When the hips are parallel to one another, one is higher than the other. When they go front to back, they should even out in height. If this isn’t happening, there is most likely a flexibility issue or an injury involved.
In other words, I will have to rely on training/conditioning etc… in general rather than try to develope this hip movement through technique drills and kinesthetic awareness?
Not at all, you should rely on everything as part of a sound training plan. I’d add specific strengthing exercises for the core region of the body and your hips to allow the body to support itself better. Both Yoga and Pilates are excellent for this.
Agree with this assessment.
Thanks for the replies and as for Pilates, here is a weird phenomena I eperianced after just one session of pilates/yoga, stretching/posture and flexability work.
The next day, both my calf muscles were a third inch bigger. The reason is that my walking posture the evening before had slightly changed after the pilates/yoga and put more pressure through my calf muscles as I took a walk near the beach.
That’s interesting Goose2, after training on the track following my first Pilates session I noticed more stress in my right hip which WAS supposed to be my shorter leg. I think it balanced things back out or caused some sort of correction.
It reminds me that we must ensure the time for spacific and intricate
training modalities. Granted, all those years of basketball, squats, plyo’s
here and there, weights and general sprints have given me my power, though at the same time, core work, the odd session of pilates, yoga,
kickboxing etc, have made some profound and immediate changes.
The abductors have a important role in preventing side to side rotation of the hip. For example, when the body weight is supported by the right foot on ground contact during sprinting, the right hip abductors contract isometrically and eccentrically to prevent the left side of the pelvis from being pulled downward by the weight of the swinging left leg. This allows the left leg to move freely through the swing phase. If the hip abductors are to weak to perform this function, then lateral pelvic tilt ( side to side rotation) will occur through every stride.
Theirs a couple of Australian sprinters who post on this site who have this side to side rotation at the end of their races, one in particular.