He can't vote in the Senate, but this is HIS nominee.
Trump can’t affect this, it has already been SNAFU’ed.But Trump’s list - or the candidates it lists - can prevent any recurrence. They must write, and all sign, a letter to the Senate announcing that no future Trump nominee will participate in such 20th Century innovations as nominee visits to senators’ offices, nominee participation in Judiciary Committee hearings, or any televised appearance - with the POTUS or anyone else in the government. And any future Trump nominee to SCOTUS will withdraw his name from consideration if the senate or any senate committee conducts televised hearings or discussions about the nominee.
IOW, any future Trump SCOTUS nominee will be treated with respect. The Republicans, so long as they hold the majority in the senate, will have no choice but to assure it (of course, no Trump nominations will be confirmed if the Democrats are in the majority, so that consideration is moot as a factor in the candidate’s considerations).