For liability reasons, I really need to get this out of the way: we are talking about anesthesia. It's a medical discipline fraught with the potential for danger. Any and all advice you get here at Bluelight needs to be taken as nothing more than opinion. We do not condone putting any of this advice into practice. We only are replying to help give you some peace of mind. With that being said, here is what I have to say.
An Anesthesiologist is going to monitor your vitals constantly. They will constantly adjust the flow and individual components of your anesthesia as needed to put you in the proverbial "sweet spot" between being dead and not feeling. If a person like yourself were to already have Oxycodone in their system, the most likely scenario would be your anesthesiologist making some kind of adjustment to the medications being administered to counter these effects and keep you in that "sweet spot".
If you take this Oxycodone regularly and are attuned and tolerant to its effects, it shouldn't make a radical different in how things progress. This is more or less your "base line" and the anesthesiologist is going to simply administer however much medication is required to put you under.
For general anesthesia, it is typically going to be a combination of:
Benzodiazepine - Often, this is Midazolam (Versed), intravenously. It's short duration of action allows them to fine-tune the dosage. They can put you under and bring you out fast.
Opioid - This is more often than not Fentanyl or an analog thereof, also favored for a relatively short duration of action
Volatile Gas - This is the mask they will put on your face when they tell you to breathe. The effects of the gas are short lived, requiring constant inhalation to maintain.
Basically, the anesthesiologist is perhaps going to administer slightly less Fentanyl. In all likelihood, absolutely nothing would happen.
If you were a Fentanyl addict with a severe Benzodiazepine dependency with a taste for Carisoprodol (Soma), we would need to have a different conversation. For someone taking a relatively small dose of Oxycodone, it shouldn't be a major problem.
When I had my wisdom teeth removed (4 impacted) I required anesthesia. I had not slept for over 24 hours. I was still high on Amphetamines when I got there. I had been using Opioids regularly for some time by then, but I wasn't heavily tolerant at this point in time. I had no self-preservation instinct at that time. I was just looking forward to fighting the urge to fall asleep as they gave me all these awesome drugs through my IV.
They ended up doing 4 of the "and how is that?" before I recall the surgeon saying something like "alright that's it" and after that I was barely conscious. I recall them crushing and ripping my molars out and feeling as if someone was poking their finger around my gums. When they brought me to post-anesthesia I was pretty much lucid within 5-10 minutes and the docs were kind of surprised.
I would later discover that my surgeon was pretty certain I was an Opioid user by that time. It wasn't until a couple of years later that we had a conversation. I asked her what her thought process was that day and she basically said "don't worry we weren't gonna let you die, we've done this a million times". This is a Harvard-trained and affiliated Oral/Maxillofacial surgeon too. She is pretty much the top of her field.
My point is, there are risks involved, but this is not something that should be impossible to figure out. I would advise honesty with your anesthesiologist. If you aren't comortable doing that and are willing to roll the dice, it's my personal belief that you won't have problems, but I'm not a great role model.