This is a very well known fact, described every where and very easy to confirm in human beings and other mammals. The sinoatrial node (SAN) is the normal pacemaker (origin of cardiac rhythm) and is located in the upper right aspect of the right atrium. The wave-front of depolarization that causes atrial myocardial contraction starts in the right atrial myocardium that is close to the SAN. Independently of intra- atrial specialized conduction fascicles in human atria, right atrium (RA) starts and complete contraction before Left atrium (LA).
A very interesting reference in the field is the book: "the conduction system of the heart" edited by Wellens, Lie and Janse.