Does the statics object work with ES6 classes in React?

No, statics only works with React.createClass():

someComponent = React.createClass({
statics: {
someMethod: function () {
// ..
},
},
});

But you can write statics inside ES6+ classes as below,

class Component extends React.Component {
static propTypes = {
// ...
};

static someMethod() {
// ...
}
}

or writing them outside class as below,

class Component extends React.Component {
....
}

Component.propTypes = {...}
Component.someMethod = function(){....}