Accessibility makes things less obvious. It is trivial to use Spinner in Button component by just using button.setIcon(new Spinner()). But that is not accessible. Spinner does have aria alert label, but it wont be announced when Spinner is a child of disabled button. Hence Spinner needs to be placed outside button. Here is an example how to do it.

SpinnerButton.java

package org.vaadin.addons.componentfactory.spinner;

/*
Add this depenency to get Spinner component

<dependency>
   <groupId>org.vaadin.addons.componentfactory</groupId>
   <artifactId>spinner</artifactId>
   <version>24.1.0</version>
</dependency>
*/

import com.vaadin.flow.component.button.Button;
import com.vaadin.flow.component.html.Div;
import com.vaadin.flow.component.orderedlayout.VerticalLayout;
import com.vaadin.flow.dom.Style.Position;
import com.vaadin.flow.router.Route;

@Route("button")
public class SpinnerButton extends VerticalLayout {

    public SpinnerButton() {
        setSizeFull();
        setJustifyContentMode(JustifyContentMode.CENTER);
        setAlignItems(Alignment.CENTER);
        Div div = new Div();
        div.getStyle().setPosition(Position.RELATIVE);
        Button button = new Button("Click");
        button.setWidth("50px");
        button.addClickListener(e -> {
            button.setText(null);
            Spinner spinner = new Spinner();
            // I recommend to move the styles to your CSS file in a real app.
            spinner.getStyle().setTop("10px");
            spinner.getStyle().setLeft("24px");
            spinner.getStyle().setPosition(Position.ABSOLUTE);
            div.add(spinner);
        });
        button.setDisableOnClick(true);
        div.add(button);
        add(div);
    }
}