Step 1: Annan's reaction to the package.
Annan mentioned to the author that the package, which was being carried by its string, was likely something of great significance. He implied that the package's contents were precious or valuable, suggesting that it had special importance in the context of the story.
Step 2: Symbolism of the package.
The package symbolizes the critical importance of the object being transported, and the way it was carried suggests its delicate and essential nature.
Step 3: Analysis of the meaning.
Annan's comment could also be seen as a reference to the broader themes of the narrative, where seemingly small details carry much larger symbolic significance, including the human relationships and emotional ties tied to the package.
Final Answer: \[ \boxed{\text{Annan told the author that the package being carried by its string seemed to be of great significance, suggesting its precious nature.}} \]