The US is making full usage of the bases in Europe to support Israel, without them it would have been logistically very hard; short of like the invasion of Afghanistan without the collaboration of Pakistan. These US bases fall under the US European Command (EUCOM) but are integrated into NATO’s architecture. The European NATO members, not only provide the bases, but subsidize the costs (e.g., infrastructure, utilities), therefore, becoming participants with the Israeli Campaign.

Countries can have some say. Spain, for instance, blocked some US airplanes destined to some campaigns, but it is just symbolic since the US just need not to declare the intention (or lie) and that is the end of the restrictions. It is not like Spain is going to inspect the vast amount of tonnage the US military is moving through Spanish ports, let alone between US bases. US could easily avoid the bases in Spain and use instead Germany, Italy and Morocco, but why would do so, when you can just humiliate your vassals in their face and have no repercussion at all... same as blowing up Nord Stream 2.