Step 1: Understanding leaf cutting propagation.
Leaf cutting is a vegetative propagation technique where a leaf or part of a leaf is used to grow a new plant. This method is successful in plants that have the ability to regenerate shoots and roots from leaf tissues. Step 2: Why Sansvieria is suitable.
\textit{Sansvieria}, also known as snake plant, is a succulent with the ability to propagate through leaf cuttings. Each leaf cutting can produce a new plant because it has meristematic cells that can differentiate into roots and shoots. Step 3: Explanation of other options.
Option (A): Incorrect. Roses are propagated through stem cuttings, not leaf cuttings. Option (B): Incorrect. Blackberries are propagated through root cuttings or stem cuttings, not leaf cuttings. Option (D): Incorrect. Bougainvillea is propagated through stem cuttings, not leaf cuttings. Step 4: Conclusion.
Among the given options, only \textit{Sansvieria} can successfully propagate through leaf cuttings.