Section 84.1 has a residency-specific counterpart, and modelling the wrong one changes both the tax result and who has to withhold.
Short answer
No, a different section does. Section 212.1(1) applies “if a non-resident person disposes of shares (in this section referred to as the "subject shares") of any class of the capital stock of a corporation resident in Canada” to a connected purchaser corporation resident in Canada in a non-arm’s-length deal — the same basic structure section 84.1 governs for a Canadian resident, but with its own deemed-dividend mechanics and its own withholding consequences under Part XIII.
Where section 212.1 applies, the excess of any non-share consideration received over the paid-up capital of the subject shares is deemed to be a dividend, generally paid by the subject corporation to the non-resident and subject to Part XIII withholding — a substantively similar recharacterization to what section 84.1 does for a resident seller, but triggering non-resident withholding tax rather than an ordinary domestic dividend gross-up.
Subsection 212.1(6) extends the analysis through trusts and partnerships in the ownership chain, so a non-resident who holds shares indirectly through a trust or partnership does not automatically escape the section by interposing one. The rule also does not apply where the purchaser corporation does not remain connected to the subject corporation after the disposition — the connection test has to be checked on the post-closing structure, not just the pre-closing one.
One file shows advisors having modelled section 84.1 when the vendor’s own facts put the transaction under section 212.1 instead. A second shows the same buyout structure that is a routine capital transaction for a resident child becoming a deemed dividend and a withholding problem the instant the seller has emigrated.
A 30-minute call is enough to tell you whether your structure holds up.
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