
der Zuspruch
approval
Positive response, popularity, or demand that a person, event, or product receives.
Das neue Restaurant findet bei den Anwohnern großen Zuspruch.
The new restaurant is receiving great approval from the local residents.
approval / support
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approval
Positive response, popularity, or demand that a person, event, or product receives.
Das neue Restaurant findet bei den Anwohnern großen Zuspruch.
The new restaurant is receiving great approval from the local residents.

support
Encouraging or comforting words that you say to someone in order to support or cheer them up.
Nach dem Unfall bekam sie viel Zuspruch von ihren Freunden und Kollegen.
After the accident, she received a lot of support from her friends and colleagues.
'Zuspruch' (approval/support) derives from the verb 'zusprechen' (to award, grant, or speak encouragingly to someone). It is a combination of 'zu' and 'Spruch' (from 'sprechen' (to speak)). The basic idea is that something is 'zugesprochen' (granted/spoken to someone) — either agreement (popularity) or comfort (encouraging words).
Seine Idee fand bei den Kollegen sofort Zuspruch.
His idea immediately found approval among his colleagues.
'Zuspruch' (approval/support) is an uncountable noun and is almost always used in the singular without an article. Instead, it is combined with adjectives such as 'viel' (much/a lot of), 'groß' (great), 'wenig' (little), or 'kein' (no).
Die Veranstaltung erhielt großen Zuspruch aus der Bevölkerung.
The event received great approval from the public.
When 'Zuspruch' (approval) means popularity or positive response, it is often combined with the verbs 'finden' (to find/receive), 'erfahren' (to experience/receive), or 'bekommen' (to get). The subject is then usually a thing, an idea, or an event.
Das neue Theaterstück findet beim Publikum breiten Zuspruch.
The new play is receiving broad approval from the audience.
When 'Zuspruch' (support) means comfort or encouragement, the typical verbs are 'geben' (to give), 'bekommen' (to get), or 'brauchen' (to need). In this context, it is usually about a person in a difficult situation.
In dieser schweren Zeit braucht sie den Zuspruch ihrer Familie.
In this difficult time, she needs the support of her family.
approval / consent
Zustimmung and Zuspruch both refer to a positive response. Zustimmung means that someone approves of an opinion, proposal, or decision. Zuspruch, by contrast, refers mainly to the positive response, popularity, or demand that an event or idea receives.

Das neue Kulturzentrum fand schon bei der Eröffnung großen Zuspruch.
The new cultural center received a great deal of support from the very day it opened.
Der Stadtrat gab seine Zustimmung zu dem Vorschlag für ein neues Kulturzentrum.
The city council approved the proposal for a new cultural center.