I'm not sure about US states (I would have thought they are considered sovereign member states of the Federation, but I haven't researched the issue), but the much less incorporated European Union certainly consists of "sovereign" states.
Or was it just a linguistic shortcut for "Ireland has submitted itself under treaties and laws of the European Union"?
EU rules are like U.S. federal laws, not WTO treaties. Member states can be bound by them even if their representatives vote against them.
If you follow your line of thought a bit further to its extremes, your home state is not sovereign, because its administration ordered some paper clips from a supplier and is now bound to pay for them, without the senators being asked if they really want to pay. ;-)
A formerly sovereign state can choose to give up its sovereignty to join a larger union, as the U.S. states did and as EU member countries have done.
> your home state is not sovereign, because its administration ordered some paper clips from a supplier and is now bound to pay for them, without the senators being asked if they really want to pay
They're not obligated to pay for the paperclips. E.g. if the U.S. government fails to pay for paperclips you sell it, you can file a claim in the Court of Federal Claims, but only because the government has chosen to waive its sovereign immunity as to such claims.