He could schedule a press conference at any time and have his words plastered all over Twitter within minutes by journalists.
Twitter as a platform made a choice, as a private entity. This choice is legally protected. Likewise Apple and Google both have the right to ban apps like Parler from their app stores under the same protections.
Nobody is banning "conservative" speech. What they are banning is outright lies, racist rhetoric, and calls for organized violent action.
If that has become synonymous with conservatism and the Republican party, then I would say that their "political movement" needs to be dismantled.