From what I see, in v2 of GMaps API there was a property \"buttons\" of the InfoWindow object that one could define in a way that given InfoWindow has no close button:
My own way (without Jquery) and with realign to the center of the infoWindow:
var content = document.querySelector('.gm-style-iw');
content.parentNode.removeChild(content.nextElementSibling);
content.style.setProperty('width', 'auto', 'important');
content.style.setProperty('right', content.style.left, 'important');
content.style.setProperty('text-align', 'center', 'important');