Numerous HIV-1 curative strategies have been proposed to eradicate the virus reservoir pool that remains integrated within target cells, despite successful antiretroviral therapy. To test the impact of such interventions on this reservoir, a universal marker of persistence is needed. Quantifying integrated HIV-1 DNA load has been proposed as a strong virological marker. In this paper, we provide a detailed description of the most commonly used assays to quantify integrated HIV-1 DNA and applications in relevant clinical studies produced over the last 20 years with a major focus on the recent literature. We discuss the potential for using this marker of virological persistence and the technical limitations that need to be addressed.