Over the years, scientific research with fish models has grown at a rapid pace, and issues such as animal welfare are becoming increasingly important in various areas of animal husbandry and experimentation. Here, we evaluated whether behavior is affected by long-term maintenance (75 days) in an enriched environment or a chronic stress (CS) situation. In addition, we evaluated some biochemical parameters related to redox status. We concluded that long-term maintenance of zebrafish in enriched environment might induce an anxiety-like behavior pattern when these fish are faced with an acute subsequent stressor. These anxiety results, the increased school cohesion, and the absence of oxidative damage allow us to hypothesize that the fish maintained in environmental enrichment (EE) situation is more reactive, showing a strong protective reaction to the stress. From an applicable perspective, we show that both too much stress and too little stress are not ideal for zebrafish stocks. In CS situations, fish can habituate and might not respond optimally to test conditions. In opposite, the low stress promoted by environmental enrichment also renders the fish incapable of dealing with occasional stressors optimally, because now even normal conditions appear stressful to them and may elicit fear behaviors they normally would not exhibit.