Qanat a.k.a. karez (Environmental Profile Baluchistan under my RG profile, figure 2.1) could be probably identified on airborne lidar by their shafts at more or less regular distances. Your search area can be minimized by pre-selection of suitable terrain for qanat. The reference figure may assist.
The qanat in Iran, Balochistan and NW China did not seem to be dug along surface tracks, but underground from shafts, the latter still observable by their man-made micro-relief.
This question is very difficult to answer without knowing what area you are referring to. Look at the availability of aerial images for your study area, if you have availability try the sentinel 2 satellite images. You can also try with some commercial images, but you will have to pay for it but you will gain in spatial resolution.
Are the qanat's track superficial or underground? if they are superficial, you can use thermal bands. If the qanat are underground, I think you can use Ground Penetrating Radar for this purpose.
thermal and radar RS data should work well if you your work is on superficial or near-surface qanat's. However, dryness of the soil, its wetness as well as spatial resolution will play major role on the accuracy of your results!