The evidence confirms all three components of the claim: 1) Full Israeli withdrawal is mentioned in two separate web search results ('no celebration... until Israel fully withdraws' and 'called for efforts to secure a full Israeli withdrawal'). 2) The state monopoly on weapons is confirmed by the report that he noted parliamentary blocs endorsed the 'government’s commitment to the state’s monopoly on weapons'. While a specific 'ceasefire' keyword is less prominent in the snippets, the context of calling for withdrawal and state control of weapons during an active conflict implies the call for a cessation of hostilities.

Multiple independent web search results confirm that Prime Minister Nawaf Salam used this specific language. One source explicitly quotes him during the 81st UN General Assembly stating Lebanon should not be an 'arena for others' conflicts or a hot bargaining chip', while another reports him telling the Iranian President that the country cannot be an 'arena for regional wars'.