Stackla Widgets are designed to be embedded in web pages with a simple copy + paste embed code. This embed code is compatible with any web management solution that allows HTML editing, including WYSIWYG editors that are provided by popular content management systems.
Stackla Widget embed codes are location dependent, meaning they are designed to display your Widget precisely where you paste the embed code in your page.
By default, tag management solutions offer little (or no) control over where on the page a script (eg. a Widget embed code) is appended - often adding them to the <head> of a web page. This makes them unsuitable for deploying Stackla Widgets which need to be embedded in the location you wish for them to be displayed.
Of course, custom tag management configurations could be implemented in order to control where a Widget embed code is appended however this often requires more effort than a simple copy + paste.
Tag management solutions may provide some benefits in advanced Widget implementations (example: enabling dynamic filtering) however this would require additional development.
Conclusion
Stackla Widgets are compatible with tag management solutions, however tag managers are not a recommended method for deploying standard Stackla Widgets.