Will hooking up a HF coil to a HF opamp nullify the induction in the coil?
Some years ago I designed and built a gain-of-600,000X amplifier for 100,000Hz, as part of beginning to evaluate magnetic beacons. Is this the level of gain you are considering?

There were 2 modules, each  with gain of 8 &amp; 64 (analog-mux selectable), a gain of 1/2/4/8 to finetune the ADC loading, and a gain of 20X low-noise discrete amplifier.

And the frontend had 3:1 analog mux, to select X/Y/Z orthogonal coils.

As a teenager, I built many a 4/5/6/7/8 stage bipolar signal chain that oscillated until I learned to use extreme methods in VDD filtering. I call those "Local Batteries".

More recently, to evaluate silicon substrate crosstalk, I built AM radios ONCHIP with the sole purpose of downconverting a differential-signal (two probes into the substrate) to a few MHz IF and then boosting the IF by 40/80/100dB. This was oscillation-free in the 40 and 80dB modes; the 100dB setting did have some ringing but lacked overt oscillation.