Contradiction with Jeremiah 29:12
This verse suggests that God hears those who call upon Him and pray, which may contradict Jeremiah 37:3 if one interprets that Zedekiah's request did not receive a favorable response.
Jeremiah 29:12: Then shall ye call upon me, and ye shall go and pray unto me, and I will hearken unto you.
Contradiction with Jeremiah 34:2-3
These verses predict the downfall and capture of Zedekiah, which contradict the hope or expectation of a positive outcome implied in Jeremiah 37:3 when Zedekiah sends for Jeremiah's prayers.
Jeremiah 34:2-3: Thus saith the LORD, the God of Israel; Go and speak to Zedekiah king of Judah, and tell him, Thus saith the LORD; Behold, I will give this city into the hand of the king of Babylon, and he shall burn it with fire:
Contradiction with Ezekiel 12:13
This verse foretells Zedekiah's capture and failure to escape, contradicting any expectation in Jeremiah 37:3 that he might be saved or delivered through prayer.
Ezekiel 12:13: My net also will I spread upon him, and he shall be taken in my snare: and I will bring him to Babylon [to] the land of the Chaldeans; yet shall he not see it, though he shall die there.
Contradiction with Lamentations 2:9
This lament describes the destruction and despair of Jerusalem, which contrasts with the hope of divine intervention implied when Zedekiah sends for Jeremiah's prayers in Jeremiah 37:3.
Lamentations 2:9: Her gates are sunk into the ground; he hath destroyed and broken her bars: her king and her princes [are] among the Gentiles: the law [is] no [more]; her prophets also find no vision from the LORD.