Menendez, one of two senators representing New Jersey, stepped down from his role as chairman of the Senate Foreign Relations Committee, as required under his party's rules.
Parliament completed the first stage of the process in two separate votes on Tuesday, and is expected to back Umerov's appointment in a vote on Wednesday.
The decision comes amid a crackdown on corruption in Ukraine that Zelensky has been keen to emphasize.
Two lawmakers - Yaroslav Zheleznyak and Iryna Gerashchenko - suggested on Telegram that the move against Kolomoisky was aimed at generating positive publicity among Ukraine's foreign backers.
Education Minister Yoav Kisch has accused the Yad Vashem Chairman of allowing unauthorized parties to vote at board meetings.
The direct cost of corrupt kashrut services is very high and burdens the economy with about $800 million, as well as raising the cost of almost all goods to our families, rich and poor.
Mirilashvili's legal team said that the defaming claims, made on social media, stem from the belief that the Georgian-born businessman is the owner of Channel 14.
The sister of the disabled soldier had reportedly claimed that Shraga had charged them NIS 1.5 million for services.
Ukraine ranks 116th out of 180 countries in campaign group Transparency International's latest Corruption Perceptions Index, with the last placed country seen as most corrupt.
Beset by venality, corruption and self-interest at every level – political, economic, and social – and with no obvious means of regeneration, Lebanon teeters on the brink of collapse into chaos.