In 2020, Costaș announced that he would run in the 2020 Moldovan presidential election as an independent candidate because there was no party "for the country and for the nation". He submitted the necessary documents for his participation to the Central Election Commission of Moldova (CEC) on 2 September. However, on 29 September, Costaș announced that he would withdraw his candidacy due to the "violation by state institutions of the constitutional provisions regarding the election of the president" and urged other candidates to do the same.
