Yes, both Jira and Zendesk Chat offer a Free Trial.
Jira is designed for Large Enterprises, Medium Business and Small Business.
Zendesk Chat is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Pricing for Jira Starts at $6.25/User/Month when Billed Yearly whereas for Zendesk Chat Starts at $19/User/Month when Billed Yearly.
Some top alternatives to Jira includes Trello, Confluence, Asana, SwiftKanban, Kanbanize, ClickUp, Height, Kanban Tool, Kanban Zone and KanbanFlow.
Some top alternatives to Zendesk Chat includes ZoomInfo Chat, LiveAgent, LiveChat, LiveEngage, Intercom, Comm100 Live Chat, Smartchat, raychat, Freshchat, RingCentral Engage Digital and Let's Connect.