We have previously demonstrated that in aerobically‐grown cells of the yeast Saccharomyces cerevisiae, hydrogen peroxide (H2O2) increases and ascorbic acid decreases cellular thermosensitivity, as determined by the inducibility of a heat shock (HS)‐reporter gene. In this work, we reveal that the aerobic thermosensitivity of anaerobically‐grown yeast cells also increases in the presence of H2O2, albeit differentially between cells with two different lipid profiles. In comparison to aerobically‐grown fermenting cells treated with the same H2O2 concentration, both these types of anaerobically‐grown cells were found to be considerably less sensitive to aerobic heat shock and considerably more thermotolerant. Paradoxically, and in contrast to ascorbate‐pretreated aerobically‐grown yeast cells, when anaerobically‐grown cells were heat‐shocked aerobically in the presence of the same ascorbic acid concentration, they exhibited increased thermosensitivity and decreased intrinsic thermotolerance with respect to their untreated counterparts. These findings are discussed with respect to what is currently known about the redox and physiological status of yeast cells grown aerobically and cells reoxygenated following anoxic growth. Copyright © 2009 John Wiley & Sons, Ltd.