There are two overlapping points at A2 in the English Grammar Profile for reporting verbs.
Point 2 in the category of REPORTED SPEECH is defined as:
reporting clause with ‘tell’ + direct object + ‘that-‘clause, with a pronoun shift where relevant.
Point 12 in VERBS and patterns is defined as:
Verbs, typically reporting verbs, followed by a noun or pronoun as the indirect object and a clause with or without ‘that’, as the direct object.
Both examples contain ‘told’ as the reporting verb. One also contained ‘promised’.
When searching for a general pattern it was very clear ‘told’ is the most common verb here. In the top 100 there were only a couple of other clusters such as:
78 PROMISED MYSELF I WOULD 458
80 ASSURED ME IT WAS 455
And both of these contain vocabulary higher than A2.
A search on iWeb corpus for told _p that _p _v:
1 TOLD ME THAT IT WAS 2620
Someecards News2 TOLD ME THAT HE HAD 2060
3 TOLD ME THAT I WAS 2059
4 TOLD ME THAT HE WAS 1948
5 TOLD ME THAT I HAD 1543
6 TOLD ME THAT I SHOULD 1203
7 TOLD HIM THAT HE WAS 1184
8 TOLD ME THAT I WOULD 1152
9 TOLD HIM THAT I WAS 1114
10 TOLD ME THAT SHE WAS 1110
11 TOLD ME THAT SHE HAD 1056
12 TOLD ME THAT THEY WERE 1042
13 TOLD ME THAT I COULD 1029
14 TOLD HIM THAT HE HAD 915
15 TOLD ME THAT IT IS 841
16 TOLD ME THAT THEY HAD 835
17 TOLD HIM THAT IT WAS 824
18 TOLD HER THAT I WAS 724
19 TOLD ME THAT HE WOULD 702
20 TOLD YOU THAT YOU COULD 688
21 TOLD HIM THAT I HAD 659
22 TOLD HER THAT SHE WAS 648
23 TOLD ME THAT IT WOULD 634
24 TOLD ME THAT I HAVE 616
25 TOLD HIM THAT HE WOULD 613
26 TOLD ME THAT I NEEDED 580
27 TOLD HIM THAT I WOULD 555
28 TOLD ME THAT THEY WOULD 550
29 TOLD ME THAT THEY ARE 547
30 TOLD ME THAT HE HAS 544
31 TOLD HER THAT IT WAS 531
32 TOLD US THAT IT WAS 518
33 TOLD ME THAT THEY HAVE 511
34 TOLD ME THAT HE DID 484
35 TOLD HER THAT HE WAS 479
36 TOLD HER THAT SHE HAD 448
37 TOLD THEM THAT I WAS 447
38 TOLD ME THAT HE IS 446
39 TOLD HER THAT I HAD 441
40 TOLD HIM THAT I DID 441
41 TOLD HER THAT HE HAD 431
42 TOLD ME THAT THEY DO 422
43 TOLD THEM THAT THEY WERE 407
44 TOLD HIM THAT SHE WAS 404
45 TOLD ME THAT I AM 394
46 TOLD US THAT HE WAS 391
47 TOLD US THAT HE HAD 388
48 TOLD HIM THAT HE COULD 365
49 TOLD HER THAT I WOULD 364
50 TOLD ME THAT SHE WOULD 358
51 TOLD YOU THAT YOU WERE 354
52 TOLD ME THAT I CAN 347
53 TOLD THEM THAT IT WAS 347
54 TOLD ME THAT HE COULD 344
55 TOLD HER THAT SHE WOULD 331
56 TOLD HIM THAT HE SHOULD 308
57 TOLD US THAT THEY WERE 307
58 TOLD THEM THAT I HAD 305
59 TOLD ME THAT SHE DID 302
60 TOLD US THAT WE WERE 300
61 TOLD THEM THAT HE WAS 296
62 TOLD ME THAT I DID 295
63 TOLD ME THAT I NEED 292
64 TOLD ME THAT THEY DID 292
65 TOLD YOU THAT YOU CAN 291
66 TOLD ME THAT SHE HAS 285
67 TOLD ME THAT HE WANTED 283
68 TOLD THEM THAT HE HAD 283
69 TOLD ME THAT THEY COULD 281
70 TOLD HIM THAT SHE HAD 279
She told him that she preferred to communicate in writing.
71 TOLD HIM THAT I WANTED 271
72 TOLD HER THAT I DID 268
73 TOLD THEM THAT I WOULD 254
74 TOLD ME THAT THEY WILL 253
75 TOLD ME THAT YOU CAN 247
76 TOLD HER THAT SHE COULD 246
77 TOLD HER THAT HE WOULD 241
78 TOLD US THAT THEY HAD 233
79 TOLD THEM THAT THEY WOULD 227
80 TOLD HIM THAT THEY WERE 224
81 TOLD YOU THAT YOU HAVE 222
82 TOLD ME THAT SHE IS 217
83 TOLD US THAT THEY ARE 212
84 TOLD ME THAT HE THOUGHT 210
85 TOLD ME THAT HE WILL 210
86 TOLD MYSELF THAT I WOULD 209
87 TOLD ME THAT HE DOES 205
88 TOLD THEM THAT THEY HAD 204
89 TOLD HER THAT SHE SHOULD 200
90 TOLD ME THAT SHE WANTED 198
91 TOLD US THAT THEY WOULD 197
92 TOLD HER THAT I WANTED 195
93 TOLD THEM THAT HE WOULD 192
94 TOLD US THAT WE HAD 192
95 TOLD YOU THAT YOU ARE 191
96 TOLD US THAT WE SHOULD 189
97 TOLD ME THAT IT HAD 186
98 TOLD US THAT WE WOULD 186
99 TOLD HIM THAT I COULD 185
100 TOLD YOU THAT I WAS 181