Measurements of top-quark production cross-sections with the ATLAS detector

The LHC produces a vast sample of top-quark pairs and single-top quarks. Measurements of the inclusive top-quark production rates at the LHC have reached a precision of several percent and test advanced next-to-next-to-leading-order predictions in QCD. Measurements of production cross-sections test the Standard Model predictions and help to improve the Monte Carlo models. In this contribution, comprehensive measurements of top-quark-antiquark pair and single-top quark production are presented; the measurements use the data recorded by the ATLAS experiment in the years 2015-2018 during Run 2 of the LHC. A recent result from the 5 TeV operation of the LHC is also included, which already challenges the precision of the 13 TeV cross-section measurement. In addition, a first look into top-quark pair production in Run 3 data at 13.6 TeV is also presented.