Step 1: Recall insertional inactivation.
Insertional inactivation is a method of identifying recombinant DNA by inserting foreign DNA into a marker gene, thereby disrupting its normal function.
Step 2: Identify the appropriate vector.
The plasmid pBR322 contains antibiotic resistance genes (Amp\(^R\) and Tet\(^R\)).
Insertion of foreign DNA into one of these genes inactivates it, allowing recombinant colonies to be distinguished from non-recombinants.
Hence,
\[
\boxed{\text{pBR322 plasmid}}
\]
is the correct answer.
Therefore,
\[
\boxed{(D)}
\]
is the correct answer.