As long as you have clean money with an obvious & documented provenance (i.e., how it was earned), and an obvious above-board purpose such as buying a house, sure, transferring a few million is likely to be straightforward.

But that is off-topic - the topic is anonymous transfer for unspecified reasons.

Even transferring between two accounts of different businesses you own can generate SARs (Suspicious Activity Reports) at $5K level. Even multiple deposits of a few $thousand in cash will draw attention & be subject to confiscation if you don't have a solid & documented explanation, such as running a big & legitimate cash business.