<Dictionary<TKey, TValue> is the generic Dictionary Type. If your target object was a List<Dictionary<TKey, TValue>> then this for-loop statement would indeed work.
In for-loops, you typically want to define the TYPE of data you will be looping over within the collection. As for you, your dictionaryObject has mapped types of <int, string>, that is, a dictionary mapping integer key values to string values.
Generally, in C#, when you iterate over a dictionary, the foreach loop processes each key-value pair in the dictionary as KeyValuePair<TKey, TValue>. This allows you to access both the key and the value for each entry during iteration. A dictionary is simply, a collection of key-value pairs, and KeyValuePair<TKey, TValue> is the TYPE of pair within your collection.