General synonyms:
* Hope (most direct translation)
* Expectation
* Anticipation
* Belief
* Trust
* Wish
* Desire
More nuanced synonyms:
* Optimism (implies a positive outlook)
* Confidence (implies a strong belief)
* Faith (implies a strong belief in something intangible)
* Yearning (implies a strong longing for something)
It's important to consider the specific situation and the nuances of the French word "espoir" to choose the most appropriate synonym.