I was a manager. It sounds to me like the OR manager is trolling for help and you are on her list. Your ICU manager probably has no idea what is going on. If you go to your ICU manager and talk to her about this I would worry that your ICU manager might think you are in cahoots with this OR manager. I have to tell you that one thing I learned as a manager in a large facility is that there are cliques among the managers and some managers had no hesitation stabbing other managers in the back, especially when it came to stealing staff nurses. I had a lot of staff stolen away from my unit that way before I knew what had happened. The managers who do this are very sly and good at it. To cover their tracks they will make the staff nurse look like the one who was doing the trolling for a different position and not them. That's why I suggest you not even talk to your ICU manager about this unless it is to tell her you are requesting a transfer to the OR. If you do decide to do that, have the OR manager help you facilitate the transfer since she's the one who approached you. She has to make a spot on her staff for you first. That's an administrative issue that you may not have control of and may take some time on her part.
I also have to tell you that it is very hard to get OR positions without any OR experience, so if this offer is good I would seriously consider taking it. The ICU manager will get over it. We managers are used to losing staff and hiring on new staff--its part of the job. OR is also a critical care area. ICU jobs are easy to get and fill because ICU nurses burn out really fast and more people want to work in ICU because of the low nurse
atient ratio than on the regular nursing units.
Before I transferred from ICU stepdown to the IV team years ago I was talking with the manager of the IV team for several months. The new manager of the ICU stepdown had no idea what I was up to. It took the IV team manager 6 months to make a spot for me on the IV team. When that was finally accomplished administratively, she told me to file my request for a transfer with my manager. When I handed the request to my stepdown manager she got huffy and nasty as we suspected she would. I worried that she wouldn't turn the request in to the nursing office. So, I mentioned to her that I already had been speaking with the IV team manager, that a position was open and they expected my transfer. I was off the stepdown schedule and on the IV team in 2 weeks. Unfortunately, until the IV team manager complained, the supervisors kept floating me to the ICU, CCU or the stepdown about 3 out of 5 work days. Her argument was that none of the other IV therapists were ever floated and I was being unjustly abused, especially since I would be called away from the patient assignment to start IVs!