Solid-state nanopores are capable of the label-free analysis of single molecules. It is possible to add biochemical selectivity by anchoring a molecular receptor inside the nanopore, but it is difficult to maintain single-molecule sensitivity in these modified nanopores. Here, we show that metallized silicon nitride nanopores chemically modified with nitrilotriacetic acid receptors can be used for the stochastic sensing of proteins. The reversible binding and unbinding of the proteins to the receptors is observed in real time, and the interaction parameters are statistically analysed from single-molecule binding events. To demonstrate the versatile nature of this approach, we detect His-tagged proteins and discriminate between the subclasses of rodent IgG antibodies.